Homotopic topology:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Budapest
Akad. Kiado
1986
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus d. Russ. übers. |
| Beschreibung: | 310 S. Ill. |
| ISBN: | 9630535440 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804118737330110464 |
|---|---|
| adam_text | CONTENTS
Chapter I. Homotopy 9
§1. Homotopy and homotopy equivalence 9
§2. Natural group structure on the sets jt(x, y) 17
§3. CW complexes 23
§4. The fundamental group n,{x) 35
§5. Covering 42
§6. Homotopy groups 49
§7. Fibrations 52
§8. Relative homotopy groups and the homotopy sequence of a fibration 62
§9. The suspension homomorphism 69
§10. Homotopy groups and CW complexes 74
Chapter II. Homology 85
§11. Singular homology 85
§12. Computation of the homology groups of CW complexes 93
§13. Homology and homotopy 100
§14. Cohomology 103
§15. Change of coefficients 105
§16. Multiplication 108
§17. Obstruction theory 111
Appendix 1. Two remarkable examples of continuous mappings 119
Appendix 2. The exact sequence of Puppe 120
Chapter III. Spectral sequences 130
§18. Filtration in a space and its spectral sequence 130
§19. The spectral sequence of a fibration 136
§20. First applications 143
§21. An addendum to the Leray theorem 149
§22. Multiplication in cohomology spectral sequences 160
§23. Killing spaces 171
§24. The ranks of the homotopy groups 173
§25. The ring H*(K(n, n); Z,) 189
Chapter IV. Cohomology operations 200
§26. General theory 200
§27. Stable operations 204
§28. The Steenrod squares 210
§29. The Steenrod algebra 218
Chapter V. The Adams spectral sequence 231
§30. General ideas 231
§31. Some auxiliary material from algebra 236
§32. Construction of the spectral sequence 240
§33. Multiplicative structures 262
§34. Applications of the Adams spectral sequence 272
§35. Partial operations 288
Appendix 3. Postnikov s natural systems 293
Appendix 4. The J homomorphism 294
Appendix 5. About the illustrations 301
Literature 303
Name index 307
Subject index 309
|
| any_adam_object | 1 |
| author | Fomenko, Anatolij Timofeevič 1945- Fuks, Dmitrij B. 1939- Gutenmacher, V.L |
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| author_facet | Fomenko, Anatolij Timofeevič 1945- Fuks, Dmitrij B. 1939- Gutenmacher, V.L |
| author_role | aut aut aut |
| author_sort | Fomenko, Anatolij Timofeevič 1945- |
| author_variant | a t f at atf d b f db dbf v g vg |
| building | Verbundindex |
| bvnumber | BV004618989 |
| classification_rvk | SK 300 |
| ctrlnum | (OCoLC)243710312 (DE-599)BVBBV004618989 |
| discipline | Mathematik |
| format | Book |
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| genre | Momotopietheorie gnd |
| genre_facet | Momotopietheorie |
| id | DE-604.BV004618989 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:15:03Z |
| institution | BVB |
| isbn | 9630535440 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002837484 |
| oclc_num | 243710312 |
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| physical | 310 S. Ill. |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | Akad. Kiado |
| record_format | marc |
| spelling | Fomenko, Anatolij Timofeevič 1945- Verfasser (DE-588)119092689 aut Gomotopičeskaja topologija Homotopic topology by A. T. Fomenko ; D. B. Fuchs ; V. L. Gutenmacher Budapest Akad. Kiado 1986 310 S. Ill. txt rdacontent n rdamedia nc rdacarrier Aus d. Russ. übers. Topologie (DE-588)4060425-1 gnd rswk-swf Homotopietheorie (DE-588)4128142-1 gnd rswk-swf Momotopietheorie gnd rswk-swf Topologie (DE-588)4060425-1 s Momotopietheorie f DE-604 Homotopietheorie (DE-588)4128142-1 s Fuks, Dmitrij B. 1939- Verfasser (DE-588)110261984 aut Gutenmacher, V.L. Verfasser (DE-588)1089347855 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002837484&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fomenko, Anatolij Timofeevič 1945- Fuks, Dmitrij B. 1939- Gutenmacher, V.L Homotopic topology Topologie (DE-588)4060425-1 gnd Homotopietheorie (DE-588)4128142-1 gnd |
| subject_GND | (DE-588)4060425-1 (DE-588)4128142-1 |
| title | Homotopic topology |
| title_alt | Gomotopičeskaja topologija |
| title_auth | Homotopic topology |
| title_exact_search | Homotopic topology |
| title_full | Homotopic topology by A. T. Fomenko ; D. B. Fuchs ; V. L. Gutenmacher |
| title_fullStr | Homotopic topology by A. T. Fomenko ; D. B. Fuchs ; V. L. Gutenmacher |
| title_full_unstemmed | Homotopic topology by A. T. Fomenko ; D. B. Fuchs ; V. L. Gutenmacher |
| title_short | Homotopic topology |
| title_sort | homotopic topology |
| topic | Topologie (DE-588)4060425-1 gnd Homotopietheorie (DE-588)4128142-1 gnd |
| topic_facet | Topologie Homotopietheorie Momotopietheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002837484&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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