Weakly semialgebraic spaces
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1989
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| Schriftenreihe: | Lecture notes in mathematics
1367 |
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| Online-Zugang: | Inhaltsverzeichnis |
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| 100 | 1 | |a Knebusch, Manfred |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Weakly semialgebraic spaces |c Manfred Knebusch |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1989 | |
| 300 | |a XVIII, 376 S. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 1367 | |
| 650 | 4 | |a Espaces algébriques | |
| 650 | 4 | |a Homotopie | |
| 650 | 4 | |a Algebraic spaces | |
| 650 | 4 | |a Homotopy theory | |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102/MAT 001z 2001 B 999-1367 |
|---|---|
| DE-BY-TUM_katkey | 119899 |
| DE-BY-TUM_media_number | 040020153515 |
| _version_ | 1816711310541324288 |
| adam_text | TABLE OF CONTENTS
page
CHAPTER IV Basic theory of weakly semialgebraic spaces 1
§1 Definition and construction of weakly semialgebraic
spaces 1
§2 Morphisms 15
§3 Subspaces and products 23
§4 Spaces of countable type 36
§5 Proper maps and partially proper maps 42
§6 Polytopic spaces; the one point completion 49
§7 A theorem on inductive limits of spaces 54
§8 Strong quotients; gluing of spaces 60
§9 The weak polytope P(M) 71
§10 The spaces PA(M) and Pf(M) 86
§11 The quotient by a partially proper equivalence
relation 99
CHAPTER V Patch complexes, and homotopies again 106
§1 Patch decompositions 106
§2 Some deformation retractions, and related homotopy
equivalences 114
§3 Partially finite open coverings 125
§4 Approximation of spaces by weak polytopes 133
§5 The two main theorems on homotopy sets 147
§6 Compressions and n equivalences 152
§7 CW complexes 165
XX
page
CHAPTER VI Homology and cohomology 182
§1 The basic categories; suspensions and cofibers 183
§2 Reduced cohomology of weak polytopes 194
§3 Cellular homology 2O9
§4 Homology of pairs of weak polytopes 214
§5 Homology of pairs of spaces 224
§6 Excision and limits 233
§7 Representation theorems, pseudo mapping spaces 244
§8 fi spectra 252
CHAPTER VII Simplicial spaces 260
§1 The basic definitions 260
§2 Realization of some simplicial spaces 268
§3 Subspaces 280
§4 Fibre products 292
§5 Quotients 303
§6 Semialgebraic realizations of simplicial sets 311
§7 The spaceISin Ml and singular homology 320
§8 Simplicial homotopy, and singular homology again 331
§9 A group of automorphisms of [0,1] 341
APPENDIX C (to Chapter IV): When is f(M) a basis of
open sets of M ? 352
References 355
Symbols 359
Glossary 363
Contents of Chapters I III 375
|
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| id | DE-604.BV001327405 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-25T17:07:22Z |
| institution | BVB |
| isbn | 3540508155 0387508155 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000802278 |
| oclc_num | 19354502 |
| open_access_boolean | |
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| physical | XVIII, 376 S. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spellingShingle | Knebusch, Manfred Weakly semialgebraic spaces Lecture notes in mathematics Espaces algébriques Homotopie Algebraic spaces Homotopy theory Schwach semialgebraischer Raum (DE-588)4209321-1 gnd Semialgebraischer Raum (DE-588)4116475-1 gnd |
| subject_GND | (DE-588)4209321-1 (DE-588)4116475-1 |
| title | Weakly semialgebraic spaces |
| title_auth | Weakly semialgebraic spaces |
| title_exact_search | Weakly semialgebraic spaces |
| title_full | Weakly semialgebraic spaces Manfred Knebusch |
| title_fullStr | Weakly semialgebraic spaces Manfred Knebusch |
| title_full_unstemmed | Weakly semialgebraic spaces Manfred Knebusch |
| title_short | Weakly semialgebraic spaces |
| title_sort | weakly semialgebraic spaces |
| topic | Espaces algébriques Homotopie Algebraic spaces Homotopy theory Schwach semialgebraischer Raum (DE-588)4209321-1 gnd Semialgebraischer Raum (DE-588)4116475-1 gnd |
| topic_facet | Espaces algébriques Homotopie Algebraic spaces Homotopy theory Schwach semialgebraischer Raum Semialgebraischer Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000802278&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT knebuschmanfred weaklysemialgebraicspaces |