Lectures on differential topology:
"The pdf contains a draft title page, draft copyright page and a draft manuscript"--
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[2021]
|
| Schriftenreihe: | Graduate studies in mathematics
218 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | "The pdf contains a draft title page, draft copyright page and a draft manuscript"-- |
| Beschreibung: | xxix, 425 Seiten Illustrationen 27 cm |
| ISBN: | 9781470466749 9781470462710 |
Internformat
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| 100 | 1 | |a Benedetti, Riccardo |d 1953- |e Verfasser |0 (DE-588)1254652353 |4 aut | |
| 245 | 1 | 0 | |a Lectures on differential topology |c Riccardo Benedetti |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [2021] | |
| 300 | |a xxix, 425 Seiten |b Illustrationen |c 27 cm | ||
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| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Graduate studies in mathematics |v 218 | |
| 505 | 8 | |a The smooth category of open subsets of Euclidean spaces -- The category of embedded smooth manifolds -- Stifel and Grassmann manifolds -- The category of smooth manifolds -- Tautological bundles and pull-back -- Compact embedded smooth manifolds -- Cut and paste compact manifolds -- Transversality -- Morse functions and handle decompositions -- Bordism -- Smooth cobordism -- Applications of cobordism rings -- Line bundles, hypersurfaces, and cobordism -- Euler-Poincaré characteristic -- Surfaces -- Bordism characteristic numbers -- The Pontryagin-Thom construction -- High-dimensional manifolds -- On 3-manifolds -- On 4-manifolds -- Appendix : baby categories | |
| 520 | |a "The pdf contains a draft title page, draft copyright page and a draft manuscript"-- | ||
| 650 | 4 | |a Differential topology | |
| 650 | 7 | |a Differential topology |2 fast | |
| 650 | 7 | |a Global analysis, analysis on manifolds / General theory of differentiable manifolds / Differentiable manifolds, foundations |2 msc | |
| 650 | 7 | |a Algebraic topology / Homology and cohomology theories / Bordism and cobordism theories and formal group laws in algebraic topology |2 msc | |
| 650 | 7 | |a Manifolds and cell complexes / Differential topology / Surgery and handlebodies |2 msc | |
| 650 | 7 | |a Manifolds and cell complexes / Differential topology / Immersions in differential topology |2 msc | |
| 650 | 7 | |a Algebraic topology / Homotopy groups / Stable homotopy of spheres |2 msc | |
| 650 | 7 | |a Global analysis, analysis on manifolds / General theory of differentiable manifolds / Real-analytic and Nash manifolds [See also 14P20, 32C07] |2 msc | |
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Datensatz im Suchindex
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| adam_text | Contents Preface xiii Introduction xv The smooth category of open subsets of Euclidean spaces Chapter 1. §1.1 §1.2 . Basic structures on K” . Differential calculus §1.3 §1.4 . . §1.5 . §1.6 §1.7 §1.8 §1.9 §1.10 An elementary division theorem Bump functions and partitions of unity 1 1 4 6 7 The smooth category of open sets in Euclideanspaces 9 . The chain rule and the tangent functor 10 . Tangent vector fields, Riemannian metrics,gradient fields 13 . Inverse function theorem and applications 16 . Topologies on spaces of smooth maps 21 . Stability of submersions and immersionsatacompact set 22 §1.11 §1.12 §1.13 . . . Morse lemma Homotopy, isotopy, diffeotopy Linearization of diffeomorphismsof Rnuptoisotopy 23 27 28 §1.14 . Homogeneity 29 Chapter 2. §2.1 §2.2 The category of embedded smooth manifolds . The embedded tangent functor . Immersions, submersions, embeddings, Monge charts 31 36 40 vii
Contents viii Chapter 3. Stiefel and Grassmann manifolds §3.1. §3.2. Stiefel manifolds Fibrations of Stiefel manifolds by Stiefel manifolds §3.3. §3.4. Grassmann manifolds Stiefel manifolds as fibre bundles over Grassmann manifolds §3.5. §3.6. A cellular decomposition of the Grassmann manifolds Stiefel and Grassmannian manifolds as real algebraic sets Chapter 4. The category of smooth manifolds §4.1. §4.2. Topologies on spaces of smooth maps Homotopy, isotopy, diffeotopy, homogeneity §4.3. §4.4. The (abstract) tangent functor Principal and associated bundles with given structure group §4.5. §4.6. Tensor bundles Tensor fields, unitary tensor bundles §4.7. Parallelizable, combable, and orientable manifolds §4.8. On complex manifolds §4.9. Manifolds with boundary, proper submanifolds §4.10. Product, manifolds with corners, smoothing §4.11. Embedding compact manifolds Chapter 5. Tautological bundles and pull-back §5.1. Tautological bundles 43 43 45 48 50 52 54 57 62 63 63 69 70 71 74 76 77 81 84 89 89 §5.2. Pull-back 91 §5.3. §5.4. §5.5. Categories of vector bundles The frame bundles Limit tautological bundles 93 §5.6. §5.7. A classification theorem for compact manifolds The rings of stable equivalence classes of vector bundles 98 Chapter 6. Compact embedded smooth manifolds §6.1. Tubular neighbourhoods and collars §6.2. §6.3. The “double” of a manifold with boundary A fibration theorem §6.4. Density of smooth maps among Cr-maps §6.5. Smooth homotopy groups: Vector bundles on spheres §6.6. Smooth approximation of compact embedded Cr-manifolds 95 96 101 107 107 111 114 114 115
116
Contents ix §6.7 . Sard-Brown theorem §6.8 . Morse functions via generic linear projections to lines §6.9 §6.10 . §6.11 Morse functions via distance functions . Generic linear projections to hyperplanes . Approximation by Nash manifolds 118 120 123 124 126 §7.1 §7.2 . . Extension of isotopies to diffeotopies Gluing manifolds together along boundary components §7.3 §7.4 . . On corner smoothing Uniqueness of smooth disks up to diffeotopy 133 133 136 138 139 §7.5 . Connected sum, shelling 140 §7.6 §7.7 . . Attaching handles Strong embedding theorem, the Whitney trick 144 146 §7.8 §7.9 §7.10 . . On immersions of n-manifolds in R2n-1 Embedding m-manifolds in B2™՜1 up to surgery . Projectivized vector bundles and blowing up 150 153 156 Chapter 7. Cut and paste compact manifolds Chapter 8. Transversality §8.1 . Basic transversality §8.2 Miscellaneous transversalities . Morse functions and handle decompositions Dissections carried by generic Morse functions Handle decompositions Moves on handle decompositions Compact 1-manifolds Chapter 9. §9.1 §9.2 §9.3 . . . §9.4 . Chapter 10. Bordism §10.1 . The bordism modules of a topological space 163 163 169 177 179 182 184 189 191 192 §10.2 §10.3 §10.4 . . . Bordism covariant functors Relative bordism of topological pairs On Eilenberg-Steenrood axioms §10.5 §10.6 . . Bordism nontriviality 199 Relation between bordism and homotopy group functors 201 §10.7 . Bordism categories 203 §10.8 . A glance at TQFT 204 194 195 196
Contents x Chapter 11. Smooth cobordism §11.1. Map transversality §11.2. Cobordism contravariant functors §11.3. §11.4. The cobordism cup product Duality, intersection forms Chapter 12. Applications of cobordism rings §12.1. Fundamental class revised, Brouwer’s fixed point theorem §12.2. A separation theorem §12.3. Intersection numbers §12-4. §12.5. §12.6. §12-7. Linking numbers Degree The Euler class of a vector bundle Borsuk-Ulam theorem Chapter 13. Line bundles, hypersurfaces, and cobordism §13.1. Real line bundles and hypersurfaces 207 207 209 211 214 219 219 220 220 221 222 225 228 231 §13.2. §13.3. §13.4. Real line bundles and Rep(?ri, Z/2Z) Oriented hypersurfaces and Ω1 Complex line bundles and Ω2 231 233 235 236 §13.5. Seifert’s surfaces 238 Chapter 14. Euler-Poincaré characteristic §14.1. E-P characteristic via Morse functions §14.2. The index of an isolated zero of a tangent vector field 241 Index theorem E-P characteristic for nonoriented manifolds Examples and properties of χ The relative E-P characteristic of a triad, χ-additivity 244 244 §14.3. §14.4. §14.5. §14.6. §14.7. §14.8. §14.9. E-P characteristic of tubular neighbourhoods and the Gauss map Nontriviality of η» and Ω. Combinatorial E-P characteristic Chapter 15. Surfaces §15.1. Classification of symmetric bilinear forms on Z/2Z §15.2. §15.3. Classification of compact surfaces Ωι(Χ) as the Abelianization of the fundamental group 242 242 246 247 248 250 251 255 259 261 265
Contents xi §15.4 . Ω2 and η-շ 266 §15.5 . Stable equivalence 268 §15.6 . Quadratic enhancement of surface intersection forms 270 Chapter 16. Bordism characteristic numbers 277 §16.1 . //-numbers 278 §16.2 . Stable //-numbers 279 §16.3 . Completeness of stable ^-numbers 280 §16.4 . On parallelizable manifolds 284 §16.5 . On Ω-characteristic numbers 285 Chapter 17. The Pontryagin-Thom construction 287 §17.1 . Embedded and framed bordism 288 §17.2 . The Pontryagin map 290 §17.3 . Characterization of combable manifolds 293 §17.4 . On (stable) homotopy groups of spheres 294 §17.5 . Thom’s spaces 301 Chapter 18. High-dimensional manifolds 307 §18.1 . On the h-cobordism theorem 308 §18.2 . Whitney trick and unlinking spheres 311 Chapter 19. On 3-manifolds 317 §19.1 . Heegaard splitting §19.2 . Surgery equivalence 317 323 §19.3 . Proofs of Ω3 = 0 326 §19.4 . Proofs of Lickorish-Wallace theorem 326 §19.5 . On 773 = 0 331 §19.6 . Combing and framing 332 §19.7 . The bordism group of immersed surfaces in a 3-manifold §19.8 . Tear and smooth-rational equivalences Chapter 20. On 4-manifolds 348 367 381 §20.1 . Symmetric unimodular Z-bilinear forms 382 §20.2 . Some 4-manifold counterparts 387 §20.3 . Ω4 391 §20.4 . A classification up to odd stabilization 395 §20.5 . On the classification up to even stabilization 396
Contents xii §20.6 §20.7 . . Congruences modulo 16 On the topological classification of smooth 4-manifolds 398 409 Appendix: Baby categories 413 Bibliography 417 Index 423
|
| adam_txt |
Contents Preface xiii Introduction xv The smooth category of open subsets of Euclidean spaces Chapter 1. §1.1 §1.2 . Basic structures on K” . Differential calculus §1.3 §1.4 . . §1.5 . §1.6 §1.7 §1.8 §1.9 §1.10 An elementary division theorem Bump functions and partitions of unity 1 1 4 6 7 The smooth category of open sets in Euclideanspaces 9 . The chain rule and the tangent functor 10 . Tangent vector fields, Riemannian metrics,gradient fields 13 . Inverse function theorem and applications 16 . Topologies on spaces of smooth maps 21 . Stability of submersions and immersionsatacompact set 22 §1.11 §1.12 §1.13 . . . Morse lemma Homotopy, isotopy, diffeotopy Linearization of diffeomorphismsof Rnuptoisotopy 23 27 28 §1.14 . Homogeneity 29 Chapter 2. §2.1 §2.2 The category of embedded smooth manifolds . The embedded tangent functor . Immersions, submersions, embeddings, Monge charts 31 36 40 vii
Contents viii Chapter 3. Stiefel and Grassmann manifolds §3.1. §3.2. Stiefel manifolds Fibrations of Stiefel manifolds by Stiefel manifolds §3.3. §3.4. Grassmann manifolds Stiefel manifolds as fibre bundles over Grassmann manifolds §3.5. §3.6. A cellular decomposition of the Grassmann manifolds Stiefel and Grassmannian manifolds as real algebraic sets Chapter 4. The category of smooth manifolds §4.1. §4.2. Topologies on spaces of smooth maps Homotopy, isotopy, diffeotopy, homogeneity §4.3. §4.4. The (abstract) tangent functor Principal and associated bundles with given structure group §4.5. §4.6. Tensor bundles Tensor fields, unitary tensor bundles §4.7. Parallelizable, combable, and orientable manifolds §4.8. On complex manifolds §4.9. Manifolds with boundary, proper submanifolds §4.10. Product, manifolds with corners, smoothing §4.11. Embedding compact manifolds Chapter 5. Tautological bundles and pull-back §5.1. Tautological bundles 43 43 45 48 50 52 54 57 62 63 63 69 70 71 74 76 77 81 84 89 89 §5.2. Pull-back 91 §5.3. §5.4. §5.5. Categories of vector bundles The frame bundles Limit tautological bundles 93 §5.6. §5.7. A classification theorem for compact manifolds The rings of stable equivalence classes of vector bundles 98 Chapter 6. Compact embedded smooth manifolds §6.1. Tubular neighbourhoods and collars §6.2. §6.3. The “double” of a manifold with boundary A fibration theorem §6.4. Density of smooth maps among Cr-maps §6.5. Smooth homotopy groups: Vector bundles on spheres §6.6. Smooth approximation of compact embedded Cr-manifolds 95 96 101 107 107 111 114 114 115
116
Contents ix §6.7 . Sard-Brown theorem §6.8 . Morse functions via generic linear projections to lines §6.9 §6.10 . §6.11 Morse functions via distance functions . Generic linear projections to hyperplanes . Approximation by Nash manifolds 118 120 123 124 126 §7.1 §7.2 . . Extension of isotopies to diffeotopies Gluing manifolds together along boundary components §7.3 §7.4 . . On corner smoothing Uniqueness of smooth disks up to diffeotopy 133 133 136 138 139 §7.5 . Connected sum, shelling 140 §7.6 §7.7 . . Attaching handles Strong embedding theorem, the Whitney trick 144 146 §7.8 §7.9 §7.10 . . On immersions of n-manifolds in R2n-1 Embedding m-manifolds in B2™՜1 up to surgery . Projectivized vector bundles and blowing up 150 153 156 Chapter 7. Cut and paste compact manifolds Chapter 8. Transversality §8.1 . Basic transversality §8.2 Miscellaneous transversalities . Morse functions and handle decompositions Dissections carried by generic Morse functions Handle decompositions Moves on handle decompositions Compact 1-manifolds Chapter 9. §9.1 §9.2 §9.3 . . . §9.4 . Chapter 10. Bordism §10.1 . The bordism modules of a topological space 163 163 169 177 179 182 184 189 191 192 §10.2 §10.3 §10.4 . . . Bordism covariant functors Relative bordism of topological pairs On Eilenberg-Steenrood axioms §10.5 §10.6 . . Bordism nontriviality 199 Relation between bordism and homotopy group functors 201 §10.7 . Bordism categories 203 §10.8 . A glance at TQFT 204 194 195 196
Contents x Chapter 11. Smooth cobordism §11.1. Map transversality §11.2. Cobordism contravariant functors §11.3. §11.4. The cobordism cup product Duality, intersection forms Chapter 12. Applications of cobordism rings §12.1. Fundamental class revised, Brouwer’s fixed point theorem §12.2. A separation theorem §12.3. Intersection numbers §12-4. §12.5. §12.6. §12-7. Linking numbers Degree The Euler class of a vector bundle Borsuk-Ulam theorem Chapter 13. Line bundles, hypersurfaces, and cobordism §13.1. Real line bundles and hypersurfaces 207 207 209 211 214 219 219 220 220 221 222 225 228 231 §13.2. §13.3. §13.4. Real line bundles and Rep(?ri, Z/2Z) Oriented hypersurfaces and Ω1 Complex line bundles and Ω2 231 233 235 236 §13.5. Seifert’s surfaces 238 Chapter 14. Euler-Poincaré characteristic §14.1. E-P characteristic via Morse functions §14.2. The index of an isolated zero of a tangent vector field 241 Index theorem E-P characteristic for nonoriented manifolds Examples and properties of χ The relative E-P characteristic of a triad, χ-additivity 244 244 §14.3. §14.4. §14.5. §14.6. §14.7. §14.8. §14.9. E-P characteristic of tubular neighbourhoods and the Gauss map Nontriviality of η» and Ω. Combinatorial E-P characteristic Chapter 15. Surfaces §15.1. Classification of symmetric bilinear forms on Z/2Z §15.2. §15.3. Classification of compact surfaces Ωι(Χ) as the Abelianization of the fundamental group 242 242 246 247 248 250 251 255 259 261 265
Contents xi §15.4 . Ω2 and η-շ 266 §15.5 . Stable equivalence 268 §15.6 . Quadratic enhancement of surface intersection forms 270 Chapter 16. Bordism characteristic numbers 277 §16.1 . //-numbers 278 §16.2 . Stable //-numbers 279 §16.3 . Completeness of stable ^-numbers 280 §16.4 . On parallelizable manifolds 284 §16.5 . On Ω-characteristic numbers 285 Chapter 17. The Pontryagin-Thom construction 287 §17.1 . Embedded and framed bordism 288 §17.2 . The Pontryagin map 290 §17.3 . Characterization of combable manifolds 293 §17.4 . On (stable) homotopy groups of spheres 294 §17.5 . Thom’s spaces 301 Chapter 18. High-dimensional manifolds 307 §18.1 . On the h-cobordism theorem 308 §18.2 . Whitney trick and unlinking spheres 311 Chapter 19. On 3-manifolds 317 §19.1 . Heegaard splitting §19.2 . Surgery equivalence 317 323 §19.3 . Proofs of Ω3 = 0 326 §19.4 . Proofs of Lickorish-Wallace theorem 326 §19.5 . On 773 = 0 331 §19.6 . Combing and framing 332 §19.7 . The bordism group of immersed surfaces in a 3-manifold §19.8 . Tear and smooth-rational equivalences Chapter 20. On 4-manifolds 348 367 381 §20.1 . Symmetric unimodular Z-bilinear forms 382 §20.2 . Some 4-manifold counterparts 387 §20.3 . Ω4 391 §20.4 . A classification up to odd stabilization 395 §20.5 . On the classification up to even stabilization 396
Contents xii §20.6 §20.7 . . Congruences modulo 16 On the topological classification of smooth 4-manifolds 398 409 Appendix: Baby categories 413 Bibliography 417 Index 423 |
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| author | Benedetti, Riccardo 1953- |
| author_GND | (DE-588)1254652353 |
| author_facet | Benedetti, Riccardo 1953- |
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| author_sort | Benedetti, Riccardo 1953- |
| author_variant | r b rb |
| building | Verbundindex |
| bvnumber | BV047658585 |
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| contents | The smooth category of open subsets of Euclidean spaces -- The category of embedded smooth manifolds -- Stifel and Grassmann manifolds -- The category of smooth manifolds -- Tautological bundles and pull-back -- Compact embedded smooth manifolds -- Cut and paste compact manifolds -- Transversality -- Morse functions and handle decompositions -- Bordism -- Smooth cobordism -- Applications of cobordism rings -- Line bundles, hypersurfaces, and cobordism -- Euler-Poincaré characteristic -- Surfaces -- Bordism characteristic numbers -- The Pontryagin-Thom construction -- High-dimensional manifolds -- On 3-manifolds -- On 4-manifolds -- Appendix : baby categories |
| ctrlnum | (OCoLC)1344259610 (DE-599)BVBBV047658585 |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
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| genre | (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV047658585 |
| illustrated | Illustrated |
| index_date | 2024-07-03T18:51:52Z |
| indexdate | 2024-07-10T09:18:31Z |
| institution | BVB |
| isbn | 9781470466749 9781470462710 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033043464 |
| oclc_num | 1344259610 |
| open_access_boolean | |
| owner | DE-739 DE-188 |
| owner_facet | DE-739 DE-188 |
| physical | xxix, 425 Seiten Illustrationen 27 cm |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Graduate studies in mathematics |
| series2 | Graduate studies in mathematics |
| spelling | Benedetti, Riccardo 1953- Verfasser (DE-588)1254652353 aut Lectures on differential topology Riccardo Benedetti Providence, Rhode Island American Mathematical Society [2021] xxix, 425 Seiten Illustrationen 27 cm txt rdacontent n rdamedia nc rdacarrier Graduate studies in mathematics 218 The smooth category of open subsets of Euclidean spaces -- The category of embedded smooth manifolds -- Stifel and Grassmann manifolds -- The category of smooth manifolds -- Tautological bundles and pull-back -- Compact embedded smooth manifolds -- Cut and paste compact manifolds -- Transversality -- Morse functions and handle decompositions -- Bordism -- Smooth cobordism -- Applications of cobordism rings -- Line bundles, hypersurfaces, and cobordism -- Euler-Poincaré characteristic -- Surfaces -- Bordism characteristic numbers -- The Pontryagin-Thom construction -- High-dimensional manifolds -- On 3-manifolds -- On 4-manifolds -- Appendix : baby categories "The pdf contains a draft title page, draft copyright page and a draft manuscript"-- Differential topology Differential topology fast Global analysis, analysis on manifolds / General theory of differentiable manifolds / Differentiable manifolds, foundations msc Algebraic topology / Homology and cohomology theories / Bordism and cobordism theories and formal group laws in algebraic topology msc Manifolds and cell complexes / Differential topology / Surgery and handlebodies msc Manifolds and cell complexes / Differential topology / Immersions in differential topology msc Algebraic topology / Homotopy groups / Stable homotopy of spheres msc Global analysis, analysis on manifolds / General theory of differentiable manifolds / Real-analytic and Nash manifolds [See also 14P20, 32C07] msc Differentialtopologie (DE-588)4012255-4 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Differentialtopologie (DE-588)4012255-4 s DE-604 Graduate studies in mathematics 218 (DE-604)BV009739289 218 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033043464&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Benedetti, Riccardo 1953- Lectures on differential topology Graduate studies in mathematics The smooth category of open subsets of Euclidean spaces -- The category of embedded smooth manifolds -- Stifel and Grassmann manifolds -- The category of smooth manifolds -- Tautological bundles and pull-back -- Compact embedded smooth manifolds -- Cut and paste compact manifolds -- Transversality -- Morse functions and handle decompositions -- Bordism -- Smooth cobordism -- Applications of cobordism rings -- Line bundles, hypersurfaces, and cobordism -- Euler-Poincaré characteristic -- Surfaces -- Bordism characteristic numbers -- The Pontryagin-Thom construction -- High-dimensional manifolds -- On 3-manifolds -- On 4-manifolds -- Appendix : baby categories Differential topology Differential topology fast Global analysis, analysis on manifolds / General theory of differentiable manifolds / Differentiable manifolds, foundations msc Algebraic topology / Homology and cohomology theories / Bordism and cobordism theories and formal group laws in algebraic topology msc Manifolds and cell complexes / Differential topology / Surgery and handlebodies msc Manifolds and cell complexes / Differential topology / Immersions in differential topology msc Algebraic topology / Homotopy groups / Stable homotopy of spheres msc Global analysis, analysis on manifolds / General theory of differentiable manifolds / Real-analytic and Nash manifolds [See also 14P20, 32C07] msc Differentialtopologie (DE-588)4012255-4 gnd |
| subject_GND | (DE-588)4012255-4 (DE-588)4123623-3 |
| title | Lectures on differential topology |
| title_auth | Lectures on differential topology |
| title_exact_search | Lectures on differential topology |
| title_exact_search_txtP | Lectures on differential topology |
| title_full | Lectures on differential topology Riccardo Benedetti |
| title_fullStr | Lectures on differential topology Riccardo Benedetti |
| title_full_unstemmed | Lectures on differential topology Riccardo Benedetti |
| title_short | Lectures on differential topology |
| title_sort | lectures on differential topology |
| topic | Differential topology Differential topology fast Global analysis, analysis on manifolds / General theory of differentiable manifolds / Differentiable manifolds, foundations msc Algebraic topology / Homology and cohomology theories / Bordism and cobordism theories and formal group laws in algebraic topology msc Manifolds and cell complexes / Differential topology / Surgery and handlebodies msc Manifolds and cell complexes / Differential topology / Immersions in differential topology msc Algebraic topology / Homotopy groups / Stable homotopy of spheres msc Global analysis, analysis on manifolds / General theory of differentiable manifolds / Real-analytic and Nash manifolds [See also 14P20, 32C07] msc Differentialtopologie (DE-588)4012255-4 gnd |
| topic_facet | Differential topology Global analysis, analysis on manifolds / General theory of differentiable manifolds / Differentiable manifolds, foundations Algebraic topology / Homology and cohomology theories / Bordism and cobordism theories and formal group laws in algebraic topology Manifolds and cell complexes / Differential topology / Surgery and handlebodies Manifolds and cell complexes / Differential topology / Immersions in differential topology Algebraic topology / Homotopy groups / Stable homotopy of spheres Global analysis, analysis on manifolds / General theory of differentiable manifolds / Real-analytic and Nash manifolds [See also 14P20, 32C07] Differentialtopologie Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033043464&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV009739289 |
| work_keys_str_mv | AT benedettiriccardo lecturesondifferentialtopology |