Topological library.: Part 1, Cobordisms and their applications /
This is the first of three volumes collecting the original and now classic works in topology written in the 50s-60s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in t...
Saved in:
| Other Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English Russian |
| Published: |
Singapore ; London :
World Scientific,
2007.
|
| Series: | K & E series on knots and everything ;
39. |
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| Summary: | This is the first of three volumes collecting the original and now classic works in topology written in the 50s-60s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950, that is, from Serre's celebrated "Singular homologies of fibre spaces."This is the translation of the Russian edition published in 2005 with one entry (Milnor's lectures on the h-cobordism) omitted. |
| Physical Description: | 1 online resource. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9789812772107 9812772103 |
Staff View
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| 245 | 0 | 0 | |a Topological library. |n Part 1, |p Cobordisms and their applications / |c edited by S.P. Novikov and I.A. Taimanov ; translated by V.O. Manturov. |
| 246 | 3 | |a Cobordisms and their applications | |
| 260 | |a Singapore ; |a London : |b World Scientific, |c 2007. | ||
| 300 | |a 1 online resource. | ||
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| 490 | 1 | |a Series on knots and everything ; |v 39 | |
| 504 | |a Includes bibliographical references and index. | ||
| 546 | |a Translated from the Russian. | ||
| 520 | |a This is the first of three volumes collecting the original and now classic works in topology written in the 50s-60s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950, that is, from Serre's celebrated "Singular homologies of fibre spaces."This is the translation of the Russian edition published in 2005 with one entry (Milnor's lectures on the h-cobordism) omitted. | ||
| 505 | 0 | |a 1. L.S. Pontrjagin. Smooth manifolds and their applications in homotopy theory -- Introduction -- ch. I. Smooth manifolds and their maps -- ch. II. Framed manifolds -- ch. III. The Hopf invariant -- ch. IV. Classification of mappings -- 2. R. Thom. Some "global" properties ofdifferentiable manifolds / translated by V.O. Manturov with M.M. Postnikov's comments. Introduction. ch. I. Properties of differentiable mappings. ch. II. Submanifolds and homology classes ofa manifold. ch. III. On Steenrods problem. ch. IV. Cobordant differentiable manifolds -- 3. S.P. Novikov. Homotopy properties of Thom complexes / translated by V.O. Manturov. Introduction. ch. I. Thom's spaces. ch. II. Inner honology rings. ch. III. Realization of cycles -- 4. Generalized Poincare's conjecture in dimensions greater than four -- 5. On the structure of manifolds -- 6. On the formal group laws of unoriented and complex cobordism theory -- 7. Formal groups and their role in algebraic topology approach / translated by V.O. Manturov -- 8. Formal groups, power systems and Adams operators / translated by M.L. Glasser. | |
| 650 | 0 | |a Cobordism theory. |0 http://id.loc.gov/authorities/subjects/sh85027549 | |
| 650 | 6 | |a Théorie des cobordismes. | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a Cobordism theory |2 fast | |
| 700 | 1 | |a Novikov, S. P. |q (Sergeĭ Petrovich) |1 https://id.oclc.org/worldcat/entity/E39PBJrKQc8HftgygRPHQGrXh3 |0 http://id.loc.gov/authorities/names/n80163746 | |
| 700 | 1 | |a Taĭmanov, I. A. |q (Iskander Asanovich), |d 1961- |1 https://id.oclc.org/worldcat/entity/E39PBJbxyDFF8GtgtbqxcXrg8C |0 http://id.loc.gov/authorities/names/n2006040009 | |
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| 880 | 0 | |6 505-00/(Q |a 1. L. S. Pontrjagin. Smooth manifolds and their applications in homotopy theory -- Introduction -- ch. I. Smooth manifolds and their maps -- ch. II. Framed manifolds -- ch. III. The Hopf invariant -- ch. IV. Classification of mappings -- 2. R. Thom. Some "global" properties ofdifferentiable manifolds / translated by V.O. Manturov with M. M. Postnikov's comments. Introduction. ch. I. Properties of differentiable mappings. ch. II. Submanifolds and homology classes ofa manifold. ch. III. On Steenrodѫs problem. ch. IV. Cobordant differentiable manifolds -- 3. S. P. Novikov. Homotopy properties of Thom complexes / translated by V. O. Manturov. Introduction. ch. I. Thom's spaces. ch. II. Inner honology rings. ch. III. Realization of cycles -- 4. Generalized Poincare's conjecture in dimensions greater than four -- 5. On the structure of manifolds -- 6. On the formal group laws of unoriented and complex cobordism theory -- 7. Formal groups and their role in algebraic topology approach / translated by V.O. Manturov -- 8. Formal groups, power systems and Adams operators / translated by M. L. Glasser. | |
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Record in the Search Index
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| adam_text | |
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| author2 | Novikov, S. P. (Sergeĭ Petrovich) Taĭmanov, I. A. (Iskander Asanovich), 1961- |
| author2_role | |
| author2_variant | s p n sp spn i a t ia iat |
| author_GND | http://id.loc.gov/authorities/names/n80163746 http://id.loc.gov/authorities/names/n2006040009 |
| author_facet | Novikov, S. P. (Sergeĭ Petrovich) Taĭmanov, I. A. (Iskander Asanovich), 1961- |
| author_sort | Novikov, S. P. |
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| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA613 |
| callnumber-raw | QA613.66 .C63 2007 |
| callnumber-search | QA613.66 .C63 2007 |
| callnumber-sort | QA 3613.66 C63 42007 |
| callnumber-subject | QA - Mathematics |
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| contents | 1. L.S. Pontrjagin. Smooth manifolds and their applications in homotopy theory -- Introduction -- ch. I. Smooth manifolds and their maps -- ch. II. Framed manifolds -- ch. III. The Hopf invariant -- ch. IV. Classification of mappings -- 2. R. Thom. Some "global" properties ofdifferentiable manifolds / translated by V.O. Manturov with M.M. Postnikov's comments. Introduction. ch. I. Properties of differentiable mappings. ch. II. Submanifolds and homology classes ofa manifold. ch. III. On Steenrods problem. ch. IV. Cobordant differentiable manifolds -- 3. S.P. Novikov. Homotopy properties of Thom complexes / translated by V.O. Manturov. Introduction. ch. I. Thom's spaces. ch. II. Inner honology rings. ch. III. Realization of cycles -- 4. Generalized Poincare's conjecture in dimensions greater than four -- 5. On the structure of manifolds -- 6. On the formal group laws of unoriented and complex cobordism theory -- 7. Formal groups and their role in algebraic topology approach / translated by V.O. Manturov -- 8. Formal groups, power systems and Adams operators / translated by M.L. Glasser. |
| ctrlnum | (OCoLC)666956616 |
| dewey-full | 514.72 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.72 |
| dewey-search | 514.72 |
| dewey-sort | 3514.72 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn666956616 |
| illustrated | Not Illustrated |
| indexdate | 2025-04-11T08:36:59Z |
| institution | BVB |
| isbn | 9789812772107 9812772103 |
| language | English Russian |
| oclc_num | 666956616 |
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| publisher | World Scientific, |
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| series | K & E series on knots and everything ; |
| series2 | Series on knots and everything ; |
| spelling | Topological library. Part 1, Cobordisms and their applications / edited by S.P. Novikov and I.A. Taimanov ; translated by V.O. Manturov. Cobordisms and their applications Singapore ; London : World Scientific, 2007. 1 online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier Series on knots and everything ; 39 Includes bibliographical references and index. Translated from the Russian. This is the first of three volumes collecting the original and now classic works in topology written in the 50s-60s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950, that is, from Serre's celebrated "Singular homologies of fibre spaces."This is the translation of the Russian edition published in 2005 with one entry (Milnor's lectures on the h-cobordism) omitted. 1. L.S. Pontrjagin. Smooth manifolds and their applications in homotopy theory -- Introduction -- ch. I. Smooth manifolds and their maps -- ch. II. Framed manifolds -- ch. III. The Hopf invariant -- ch. IV. Classification of mappings -- 2. R. Thom. Some "global" properties ofdifferentiable manifolds / translated by V.O. Manturov with M.M. Postnikov's comments. Introduction. ch. I. Properties of differentiable mappings. ch. II. Submanifolds and homology classes ofa manifold. ch. III. On Steenrods problem. ch. IV. Cobordant differentiable manifolds -- 3. S.P. Novikov. Homotopy properties of Thom complexes / translated by V.O. Manturov. Introduction. ch. I. Thom's spaces. ch. II. Inner honology rings. ch. III. Realization of cycles -- 4. Generalized Poincare's conjecture in dimensions greater than four -- 5. On the structure of manifolds -- 6. On the formal group laws of unoriented and complex cobordism theory -- 7. Formal groups and their role in algebraic topology approach / translated by V.O. Manturov -- 8. Formal groups, power systems and Adams operators / translated by M.L. Glasser. Cobordism theory. http://id.loc.gov/authorities/subjects/sh85027549 Théorie des cobordismes. MATHEMATICS Topology. bisacsh Cobordism theory fast Novikov, S. P. (Sergeĭ Petrovich) https://id.oclc.org/worldcat/entity/E39PBJrKQc8HftgygRPHQGrXh3 http://id.loc.gov/authorities/names/n80163746 Taĭmanov, I. A. (Iskander Asanovich), 1961- https://id.oclc.org/worldcat/entity/E39PBJbxyDFF8GtgtbqxcXrg8C http://id.loc.gov/authorities/names/n2006040009 K & E series on knots and everything ; 39. http://id.loc.gov/authorities/names/n91052105 505-00/(Q 1. L. S. Pontrjagin. Smooth manifolds and their applications in homotopy theory -- Introduction -- ch. I. Smooth manifolds and their maps -- ch. II. Framed manifolds -- ch. III. The Hopf invariant -- ch. IV. Classification of mappings -- 2. R. Thom. Some "global" properties ofdifferentiable manifolds / translated by V.O. Manturov with M. M. Postnikov's comments. Introduction. ch. I. Properties of differentiable mappings. ch. II. Submanifolds and homology classes ofa manifold. ch. III. On Steenrodѫs problem. ch. IV. Cobordant differentiable manifolds -- 3. S. P. Novikov. Homotopy properties of Thom complexes / translated by V. O. Manturov. Introduction. ch. I. Thom's spaces. ch. II. Inner honology rings. ch. III. Realization of cycles -- 4. Generalized Poincare's conjecture in dimensions greater than four -- 5. On the structure of manifolds -- 6. On the formal group laws of unoriented and complex cobordism theory -- 7. Formal groups and their role in algebraic topology approach / translated by V.O. Manturov -- 8. Formal groups, power systems and Adams operators / translated by M. L. Glasser. |
| spellingShingle | Topological library. K & E series on knots and everything ; 1. L.S. Pontrjagin. Smooth manifolds and their applications in homotopy theory -- Introduction -- ch. I. Smooth manifolds and their maps -- ch. II. Framed manifolds -- ch. III. The Hopf invariant -- ch. IV. Classification of mappings -- 2. R. Thom. Some "global" properties ofdifferentiable manifolds / translated by V.O. Manturov with M.M. Postnikov's comments. Introduction. ch. I. Properties of differentiable mappings. ch. II. Submanifolds and homology classes ofa manifold. ch. III. On Steenrods problem. ch. IV. Cobordant differentiable manifolds -- 3. S.P. Novikov. Homotopy properties of Thom complexes / translated by V.O. Manturov. Introduction. ch. I. Thom's spaces. ch. II. Inner honology rings. ch. III. Realization of cycles -- 4. Generalized Poincare's conjecture in dimensions greater than four -- 5. On the structure of manifolds -- 6. On the formal group laws of unoriented and complex cobordism theory -- 7. Formal groups and their role in algebraic topology approach / translated by V.O. Manturov -- 8. Formal groups, power systems and Adams operators / translated by M.L. Glasser. Cobordism theory. http://id.loc.gov/authorities/subjects/sh85027549 Théorie des cobordismes. MATHEMATICS Topology. bisacsh Cobordism theory fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85027549 |
| title | Topological library. |
| title_alt | Cobordisms and their applications |
| title_auth | Topological library. |
| title_exact_search | Topological library. |
| title_full | Topological library. Part 1, Cobordisms and their applications / edited by S.P. Novikov and I.A. Taimanov ; translated by V.O. Manturov. |
| title_fullStr | Topological library. Part 1, Cobordisms and their applications / edited by S.P. Novikov and I.A. Taimanov ; translated by V.O. Manturov. |
| title_full_unstemmed | Topological library. Part 1, Cobordisms and their applications / edited by S.P. Novikov and I.A. Taimanov ; translated by V.O. Manturov. |
| title_short | Topological library. |
| title_sort | topological library cobordisms and their applications |
| topic | Cobordism theory. http://id.loc.gov/authorities/subjects/sh85027549 Théorie des cobordismes. MATHEMATICS Topology. bisacsh Cobordism theory fast |
| topic_facet | Cobordism theory. Théorie des cobordismes. MATHEMATICS Topology. Cobordism theory |
| work_keys_str_mv | AT novikovsp topologicallibrarypart1 AT taimanovia topologicallibrarypart1 AT novikovsp cobordismsandtheirapplications AT taimanovia cobordismsandtheirapplications |