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Homotopic topology:

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Bibliographic Details
Main Authors:	Fomenko, Anatolij Timofeevič 1945- (Author), Fuks, Dmitrij B. 1939- (Author), Gutenmacher, V.L (Author)
Format:	Book
Language:	English
Published:	Budapest Akad. Kiado 1986
Subjects:	Topologie Homotopietheorie Momotopietheorie
Online Access:	Inhaltsverzeichnis
Item Description:	Aus d. Russ. übers.
Physical Description:	310 S. Ill.
ISBN:	9630535440

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MARC


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Record in the Search Index

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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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bvnumber	BV004618989
classification_rvk	SK 300
ctrlnum	(OCoLC)243710312 (DE-599)BVBBV004618989
discipline	Mathematik
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genre	Momotopietheorie gnd
genre_facet	Momotopietheorie
id	DE-604.BV004618989
illustrated	Illustrated
indexdate	2024-07-09T16:15:03Z
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isbn	9630535440
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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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