The finiteness obstruction of C. T. C. Wall:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | Undetermined |
| Veröffentlicht: |
New York, NY u.a.
New York, NY u.a.
1989
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 194 S. |
| ISBN: | 0471623067 |
Internformat
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| 245 | 1 | 0 | |a The finiteness obstruction of C. T. C. Wall |c Kalathoor Varadarajan |
| 264 | 1 | |a New York, NY u.a. |b New York, NY u.a. |c 1989 | |
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Datensatz im Suchindex
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| adam_text | Contents
Chapter 1 CW Complexes and J. H. C. Whitehead s Theorems 1
1 Weak Homotopy Equivalences and Homology Equivalences 1
2 CW Complexes 5
3 Spaces Dominated by CW Complexes 11
4 An Example 20
5 Postnikov Systems 20
Chapter 2 E. Dror s Generalization of Whitehead s Theorem TJ
1 Stallings Theorem 27
2 Nilpotent Action of a Group on Another Group 30
3 Nilpotent Spaces 45
4 Nilpotence of Semi Direct Products 46
5 Nilpotence of Classifying Spaces 49
Chapter 3 Grothendieck Groups 53
1 Definition of K0(R), K0(R), G0(R), G0(R), and Their Basic
Properties 53
2 Induced Homomorphisms and Restriction Maps 57
3 Some Examples 58
4 Functoriality of Ko 61
5 Grothendieck s Theorem 64
Chapter 4 Relationship between K0(R) and the Ideal Class Group
When RIsa Dedekind Domain 79
1 Integral Elements and Dedekind Domains 79
2 Integers in Algebraic Number Fields 83
3 Fractional Ideals and the Class Group 87
Chapter 5 Dock Sang Rim s Theorem 103
1 Complete Cohomology of it 103
2 Weakly Projective and Weakly Injective Modules 108
ix
x Contents
3 p Groups 119
4 Cohomologically Trivial Modules 125
5 K0(Zir) When n Is a Cyclic Group of Order p, with p a prime 129
Chapter 6 Finiteness Obstruction of C. T. C. Wall 137
1 Homotopy Domination 137
2 Homotopy Type of Finite Dimensional (Respectively, Finite)
Complexes 149
3 A Product Formula for Wall s Obstruction 163
Chapter 7 Finitely Dominated Nilpotent Spaces 171
1 Conditions for Finite Domination in the Nilpotent Case 171
2 Finitely Dominated Nilpotent Spaces with a Finite
Fundamental Group 180
3 Wall Invariant of SFP Complexes 185
References 191
Index 193
|
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| author | Varadarajan, Kalathoor |
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| ctrlnum | (OCoLC)243267796 (DE-599)BVBBV013496811 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV013496811 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:46:51Z |
| institution | BVB |
| isbn | 0471623067 |
| language | Undetermined |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009212632 |
| oclc_num | 243267796 |
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| owner | DE-19 DE-BY-UBM |
| owner_facet | DE-19 DE-BY-UBM |
| physical | X, 194 S. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | New York, NY u.a. |
| record_format | marc |
| spelling | Varadarajan, Kalathoor Verfasser aut The finiteness obstruction of C. T. C. Wall Kalathoor Varadarajan New York, NY u.a. New York, NY u.a. 1989 X, 194 S. txt rdacontent n rdamedia nc rdacarrier Homotopietheorie (DE-588)4128142-1 gnd rswk-swf CW-Komplex (DE-588)4148419-8 gnd rswk-swf K-Theorie (DE-588)4033335-8 gnd rswk-swf CW-Komplex (DE-588)4148419-8 s K-Theorie (DE-588)4033335-8 s DE-604 Homotopietheorie (DE-588)4128142-1 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009212632&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Varadarajan, Kalathoor The finiteness obstruction of C. T. C. Wall Homotopietheorie (DE-588)4128142-1 gnd CW-Komplex (DE-588)4148419-8 gnd K-Theorie (DE-588)4033335-8 gnd |
| subject_GND | (DE-588)4128142-1 (DE-588)4148419-8 (DE-588)4033335-8 |
| title | The finiteness obstruction of C. T. C. Wall |
| title_auth | The finiteness obstruction of C. T. C. Wall |
| title_exact_search | The finiteness obstruction of C. T. C. Wall |
| title_full | The finiteness obstruction of C. T. C. Wall Kalathoor Varadarajan |
| title_fullStr | The finiteness obstruction of C. T. C. Wall Kalathoor Varadarajan |
| title_full_unstemmed | The finiteness obstruction of C. T. C. Wall Kalathoor Varadarajan |
| title_short | The finiteness obstruction of C. T. C. Wall |
| title_sort | the finiteness obstruction of c t c wall |
| topic | Homotopietheorie (DE-588)4128142-1 gnd CW-Komplex (DE-588)4148419-8 gnd K-Theorie (DE-588)4033335-8 gnd |
| topic_facet | Homotopietheorie CW-Komplex K-Theorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009212632&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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