Differential topology:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
1997
|
| Edition: | Corr. 6. print. |
| Series: | Graduate texts in mathematics
33 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 222 S. Ill. , graph. Darst. |
| ISBN: | 0387901485 9780387901480 3540901485 |
Staff View
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| 245 | 1 | 0 | |a Differential topology |c Morris W. Hirsch |
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Record in the Search Index
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| adam_text |
Table of Contents
Introduction
1
Chapter 1: Manifolds and Maps
0. Submanifolds of W+k 8
1. Differential Structures 11
2. Differentiable Maps and the Tangent Bundle 75
3. Embeddings and Immersions 21
4. Manifolds with Boundary 29
5. A Convention 32
Chapter 2: Function Spaces
1. The Weak and Strong Topologies on Cr(M,N) 34
2. Approximations 41
3. Approximations on 5 Manifolds and Manifold Pairs 56
4. Jets and the Baire Property 58
5. Analytic Approximations 65
Chapter 3: Transversality
1. The Morse Sard Theorem 68
2. Transversality 74
Chapter 4: Vector Bundles and Tubular Neighborhoods
1. Vector Bundles 86
2. Constructions with Vector Bundles 92
3. The Classification of Vector Bundles 99
4. Oriented Vector Bundles 103
5. Tubular Neighborhoods 109
6. Collars and Tubular Neighborhoods of Neat Submanifolds 113
7. Analytic Differential Structures 118
Chapter 5: Degrees, Intersection Numbers,
and the Euler Characteristic
1. Degrees of Maps 121
2. Intersection Numbers and the Euler Characteristic 131
3. Historical Remarks 140
ix
x Table of Contents
Chapter 6: Morse Theory
1. Morse Functions 143
2. Differential Equations and Regular Level Surfaces 149
3. Passing Critical Levels and Attaching Cells 156
4. CPF Complexes 166
Chapter 7: Cobordism
1. Cobordism and Transversality 169
2. The Thorn Homomorphism 172
Chapter 8: Isotopy
1. Extending Isotopies 177
2. Gluing Manifolds Together 184
3. Isotopies of Disks 185
Chapter 9: Surfaces
1. Models of Surfaces 189
2. Characterization of the Disk 194
3. The Classification of Compact Surfaces 200
Bibliography
209
Appendix
213
Index
217 |
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| author | Hirsch, Morris W. 1933- |
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| callnumber-raw | QA613.6.H57 1997 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 350 |
| ctrlnum | (OCoLC)245994925 (DE-599)BVBBV012180539 |
| dewey-full | 514/.7221 514/.72 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.72 21 514/.72 |
| dewey-search | 514/.72 21 514/.72 |
| dewey-sort | 3514 272 221 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | Corr. 6. print. |
| format | Book |
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| isbn | 0387901485 9780387901480 3540901485 |
| language | English |
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| physical | X, 222 S. Ill. , graph. Darst. |
| publishDate | 1997 |
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| publisher | Springer |
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| series | Graduate texts in mathematics |
| series2 | Graduate texts in mathematics |
| spelling | Hirsch, Morris W. 1933- Verfasser (DE-588)172139120 aut Differential topology Morris W. Hirsch Corr. 6. print. New York [u.a.] Springer 1997 X, 222 S. Ill. , graph. Darst. txt rdacontent n rdamedia nc rdacarrier Graduate texts in mathematics 33 Topologia diferencial larpcal Differential topology Differentialtopologie (DE-588)4012255-4 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift 1976 Varenna gnd-content Differentialtopologie (DE-588)4012255-4 s DE-604 Graduate texts in mathematics 33 (DE-604)BV000000067 33 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008253956&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hirsch, Morris W. 1933- Differential topology Graduate texts in mathematics Topologia diferencial larpcal Differential topology Differentialtopologie (DE-588)4012255-4 gnd |
| subject_GND | (DE-588)4012255-4 (DE-588)1071861417 |
| title | Differential topology |
| title_auth | Differential topology |
| title_exact_search | Differential topology |
| title_full | Differential topology Morris W. Hirsch |
| title_fullStr | Differential topology Morris W. Hirsch |
| title_full_unstemmed | Differential topology Morris W. Hirsch |
| title_short | Differential topology |
| title_sort | differential topology |
| topic | Topologia diferencial larpcal Differential topology Differentialtopologie (DE-588)4012255-4 gnd |
| topic_facet | Topologia diferencial Differential topology Differentialtopologie Konferenzschrift 1976 Varenna |
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