Verfügbarkeit: Boundedly controlled topology | Technische Universität München

Boundedly controlled topology:

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Bibliographische Detailangaben
Beteiligte Personen:	Anderson, Douglas R. (VerfasserIn), Munkholm, Hans J. (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Berlin [u.a.] Springer 1988
Schriftenreihe:	Lecture notes in mathematics 1323
Schlagwörter:	Parametrisierung Beschränktheit > Mathematik Topologie Homotopietheorie Grundlage Algebraische Topologie
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000539215&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	XII, 309 S.
ISBN:	3540193979 0387193979

Internformat

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Datensatz im Suchindex

DE-BY-TUM_call_number	0102 MAT 001z 2001 B 999-1323
DE-BY-TUM_katkey	88813
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adam_text	TABLE OF CONTENTS INTRODUCTION iii x I. CATEGORY THEORETIC FOUNDATIONS 1 1. Categories with endomorphism 3 2. Properties of the category 3(2 ) 7 3. Functors between categories with endomorphism 13 4. Functor categories as categories with endomorphism 19 5. Functors between functor categories 26 6. Equivalences of Categories 33 II. THE ALGEBRAIC TOPOLOGY OF BOUNDEDLY CONTROLLED SPACES 40 1. The categories yo£c/Z and efc/Z 41 2. Fragmented spaces and fragmentations 47 3. Homology of fragmented spaces and pairs 54 4. Homotopy of fragmented spaces and pairs 60 5. The fundamental groupoid 68 6. The absolute Hurewicz theorem 75 7. The relative Hurewicz theorem 80 8. Variations on the Hurewicz theorem 85 9. Algebraic invariants for boundedly controlled spaces 89 10. The Whitehead theorem 92 III. THE GEOMETRIC BOUNDEDLY CONTROLLED WHITEHEAD GRC^P 99 1. Boundedly controlled cells and CW complexes 100 2. Elementary expansions and collapses 101 3. The boundedly controlled geometric Whitehead group 104 4. The 2 Index theorem 112 5. The Whitehead torsion of a be homotopy equivalence 117 IV. FREE AND PROJECTIVE R#G MODULES. THE ALGEBRAIC WHITEHEAD GROUPS OF R#G 123 1. Free and projective RS modules 125 2. Boundedly finitely generated RS G modules 138 3. K^R^G) and Wh(R0G) 144 3. The algebraic K theory of R?G 152 4. Functoriality of K^R^G) and Wh(RG) 153 5. Involutions on K.,(RG) and Wh(R#G) 168 XII V. THE ISOMORPHISM BETWEEN THE GEOMETRIC AND ALGEBRAIC WHITEHEAD GROUPS 176 1. Whitehead torsion for based chain complexes 176 2. Based Z#G modules in be algebraic topology 183 3. The isomorphism t: Whc(X,p) —» VfhZ»G1{X,p) 194 4. Combinatorial invariance of Whitehead torsion 205 5. Bumpy homotopy equivalences 210 VI. BOUNDEDLY CONTROLLED MANIFOLDS AND THE s COBORDISM THEOREM 212 1. Boundedly controlled collars 214 2. Attaching boundedly controlled handles and disks 217 3. Handle decompositions exist 223 4. Modifying handle presentations 228 5. Geometric connectivity of manifolds 237 6. The boundedly controlled s cobordism theorem 251 7. The realization and duality theorems 256 VII. TOWARD COMPUTATIONS 260 1. A comparison of WhC(YxRk,proj) with Kj^Zir^Y) 261 2. A comparison of Whc(NxRk,proj) with 9 (NxRk) 269 3. The algebra of germs at infinity 275 4. An example over R 286 BIBLIOGRAPHY 301 INDEX . 305
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illustrated	Not Illustrated
indexdate	2024-12-20T07:27:56Z
institution	BVB
isbn	3540193979 0387193979
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-000539215
oclc_num	230937308
open_access_boolean
owner	DE-12 DE-91G DE-BY-TUM DE-384 DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-11 DE-188 DE-83
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physical	XII, 309 S.
publishDate	1988
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publisher	Springer
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series	Lecture notes in mathematics
series2	Lecture notes in mathematics
spellingShingle	Anderson, Douglas R. Munkholm, Hans J. Boundedly controlled topology Lecture notes in mathematics Parametrisierung (DE-588)4402701-1 gnd Beschränktheit Mathematik (DE-588)4289271-5 gnd Topologie (DE-588)4060425-1 gnd Homotopietheorie (DE-588)4128142-1 gnd Grundlage (DE-588)4158388-7 gnd Algebraische Topologie (DE-588)4120861-4 gnd
subject_GND	(DE-588)4402701-1 (DE-588)4289271-5 (DE-588)4060425-1 (DE-588)4128142-1 (DE-588)4158388-7 (DE-588)4120861-4
title	Boundedly controlled topology
title_auth	Boundedly controlled topology
title_exact_search	Boundedly controlled topology
title_full	Boundedly controlled topology Douglas R. Anderson ; Hans J. Munkholm
title_fullStr	Boundedly controlled topology Douglas R. Anderson ; Hans J. Munkholm
title_full_unstemmed	Boundedly controlled topology Douglas R. Anderson ; Hans J. Munkholm
title_short	Boundedly controlled topology
title_sort	boundedly controlled topology
topic	Parametrisierung (DE-588)4402701-1 gnd Beschränktheit Mathematik (DE-588)4289271-5 gnd Topologie (DE-588)4060425-1 gnd Homotopietheorie (DE-588)4128142-1 gnd Grundlage (DE-588)4158388-7 gnd Algebraische Topologie (DE-588)4120861-4 gnd
topic_facet	Parametrisierung Beschränktheit Mathematik Topologie Homotopietheorie Grundlage Algebraische Topologie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000539215&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000676446
work_keys_str_mv	AT andersondouglasr boundedlycontrolledtopology AT munkholmhansj boundedlycontrolledtopology

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