Lectures on Hilbert cube manifolds: [expository lectures from the CBMS Regional Conference held at Guilford College, October 11 - 15, 1975]
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
1976
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| Series: | Regional conference series in mathematics
28 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 131 S. Ill. u. graph. Darst. |
| ISBN: | 0821816780 |
Staff View
MARC
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| 245 | 1 | 0 | |a Lectures on Hilbert cube manifolds |b [expository lectures from the CBMS Regional Conference held at Guilford College, October 11 - 15, 1975] |c by T. A. Chapman |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1976 | |
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Record in the Search Index
| _version_ | 1804116416402554880 |
|---|---|
| adam_text | Contents
Introduction ix
I. Preliminaries 1
§1. General Definitions 1
§2. The Hilbert Cube 1
§3. Z-Sets 2
§4. Proper Maps 4
§5. A Convergence Criterion 4
Notes 6
II. Z-Sets in Q 7
§6. Infinite Codimension 7
§7. Extending Homeomorphisms 9
§8. Approximating Maps by Embeddings 10
§9. Estimated Extensions of Homeomorphisms 11
§10. Homeomorphing Z-sets into s 12
§11. The Main Results 14
§12. Some Applications 14
Notes 17
III. Stability of Q-Manifolds 18
§13. Open Subsets of Q 18
§14. Variable Products 20
§15. The Main Result 22
Notes 24
IV. Z-Sets in Q-Manifolds 25
§16. Collared Submanifolds 25
§17. Reduction to Q 25
§18. Approximating Maps by ZEmbeddings 27
§19. Extending Homeomorphisms 28
Notes 31
V. Q-Manifolds of the Form M x [0,1) 32
§20. Engulfing 32
§21. The Main Result 33
§22. Compact Contractible Q-Manifolds 35
§23. Triangulating Q-Manifolds 36
Notes 38
VI. Shapes of Z-Sets in Q 39
§24. Borsuk s Definition of Shape 39
§25. The Complement Theorem 39
Notes 44
VII. Near Homeomorphisms and the Sum Theorem 45
§26. Near Homeomorphisms 45
§27. The Sum Theorem 47
Notes 53
VIII. Applications of the Sum Theorem 54
§28. Q-Manifold Factors . 54
§29. Simple Homotopy Theory . . . . 54
§30. Infinite Simple Homotopy Theory 57
Notes 59
IX. The Splitting Theorem 60
§31. Constructing Splittings 61
§32. Splitting the Fundamental Group 64
§33. The Main Result 67
Notes 69
X. The Handle Straightening Theorem 70
§34. Immersions 70
§35. The Main Result 71
Notes 80
XI. The Triangulation Theorem 81
§36. The Compact Case 81
§37. The General Case 82
Notes 85
XII. The Classification Theorem 86
§38. The Compact Case 86
§39. The General Case 87
Notes 90
XIII. Cell-Like Mappings 91
§40. Fine Homotopy Equivalences 91
§41. Multiplying ANRs by [0,1) 92
Notes 98
XIV. The ANR Theorem 99
§42. Two Near Homeomorphism Results 99
§43. The Main Step 103
§44. The Main Result 106
Notes 107
References
Appendix. Open Problems in Infinite-Dimensional Topology 111
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| id | DE-604.BV001972402 |
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| indexdate | 2024-07-09T15:38:10Z |
| institution | BVB |
| isbn | 0821816780 |
| language | English |
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| physical | X, 131 S. Ill. u. graph. Darst. |
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| spelling | Chapman, Thomas A. 1940- Verfasser (DE-588)172018536 aut Lectures on Hilbert cube manifolds [expository lectures from the CBMS Regional Conference held at Guilford College, October 11 - 15, 1975] by T. A. Chapman Providence, RI American Math. Soc. 1976 X, 131 S. Ill. u. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Regional conference series in mathematics 28 Espaces topologiques Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Hilbertscher Quader (DE-588)4159862-3 gnd rswk-swf Hilbert-Mannigfaltigkeit (DE-588)4159849-0 gnd rswk-swf Hilbert-Mannigfaltigkeit (DE-588)4159849-0 s Hilbertscher Quader (DE-588)4159862-3 s Mannigfaltigkeit (DE-588)4037379-4 s 1\p DE-604 DE-604 Regional conference series in mathematics 28 (DE-604)BV000004346 28 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001286420&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 | Chapman, Thomas A. 1940- Lectures on Hilbert cube manifolds [expository lectures from the CBMS Regional Conference held at Guilford College, October 11 - 15, 1975] Regional conference series in mathematics Espaces topologiques Mannigfaltigkeit (DE-588)4037379-4 gnd Hilbertscher Quader (DE-588)4159862-3 gnd Hilbert-Mannigfaltigkeit (DE-588)4159849-0 gnd |
| subject_GND | (DE-588)4037379-4 (DE-588)4159862-3 (DE-588)4159849-0 |
| title | Lectures on Hilbert cube manifolds [expository lectures from the CBMS Regional Conference held at Guilford College, October 11 - 15, 1975] |
| title_auth | Lectures on Hilbert cube manifolds [expository lectures from the CBMS Regional Conference held at Guilford College, October 11 - 15, 1975] |
| title_exact_search | Lectures on Hilbert cube manifolds [expository lectures from the CBMS Regional Conference held at Guilford College, October 11 - 15, 1975] |
| title_full | Lectures on Hilbert cube manifolds [expository lectures from the CBMS Regional Conference held at Guilford College, October 11 - 15, 1975] by T. A. Chapman |
| title_fullStr | Lectures on Hilbert cube manifolds [expository lectures from the CBMS Regional Conference held at Guilford College, October 11 - 15, 1975] by T. A. Chapman |
| title_full_unstemmed | Lectures on Hilbert cube manifolds [expository lectures from the CBMS Regional Conference held at Guilford College, October 11 - 15, 1975] by T. A. Chapman |
| title_short | Lectures on Hilbert cube manifolds |
| title_sort | lectures on hilbert cube manifolds expository lectures from the cbms regional conference held at guilford college october 11 15 1975 |
| title_sub | [expository lectures from the CBMS Regional Conference held at Guilford College, October 11 - 15, 1975] |
| topic | Espaces topologiques Mannigfaltigkeit (DE-588)4037379-4 gnd Hilbertscher Quader (DE-588)4159862-3 gnd Hilbert-Mannigfaltigkeit (DE-588)4159849-0 gnd |
| topic_facet | Espaces topologiques Mannigfaltigkeit Hilbertscher Quader Hilbert-Mannigfaltigkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001286420&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000004346 |
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