Locally semialgebraic spaces:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin, [u.a.]
Springer
[1985]
|
| Series: | Lecture notes in mathematics
1173 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 329 Seiten |
| ISBN: | 3540160604 0387160604 |
Staff View
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| 100 | 1 | |a Delfs, Hans |d 1949- |0 (DE-588)132994895 |4 aut | |
| 245 | 1 | 0 | |a Locally semialgebraic spaces |c Hans Delfs ; Manfred Knebusch |
| 264 | 1 | |a Berlin, [u.a.] |b Springer |c [1985] | |
| 264 | 4 | |c © 1985 | |
| 300 | |a XVI, 329 Seiten | ||
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| 650 | 4 | |a Homotopy theory | |
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Record in the Search Index
| _version_ | 1815529398177103872 |
|---|---|
| adam_text |
TABLE OF CONTENTS
page
Chapter I The basic definitions 1
§1 Locally semialgebraic spaces and maps 1
§2 Inductive limits, some examples of locally semialge¬
braic spaces 11
§3 Locally semialgebraic subsets 27
§4 Regular and paracompact spaces 42
§5 Semialgebraic maps and proper maps 54
§6 Partially proper maps 63
§7 Locally complete spaces 75
Chapter II Completions and triangulations 87
§1 Gluing paracompact spaces 87
§2 Existence of completions 94
§3 Abstract simplicial complexes 99
§4 Triangulation of regular paracompact spaces 106
§5 Triangulation of weakly simplicial maps, maximal
complexes 113
§6 Triangulation of amenable partially finite maps 124
§7 Stars and shells 138
§8 Pure hulls of dense pairs 146
§9 Ends of spaces, the LC stratification 156
§10 Some proper quotients 178
§11 Modification of pure ends 189
§12 The Stein factorization of a semialgebraic map 198
§13 Semialgebraic spreads 211
§14 Huber's theorem on open mappings 219
XVI
Chapter III Homotopies 226
§1 Some strong deformation retracts 226
§2 Simplicial approximations 232
§3 The first main theorem on homotopy sets; mapping spaces 243
§4 Relative homotopy sets 249
§5 The second main theorem; contiguity classes 257
§6 Homotopy groups 265
§7 Homology; the Hurewicz theorems 278
§8 Homotopy groups of ends 286
Appendix A Abstract locally semialgebraic spaces 295
Appendix B Conservation of some properties of spaces and maps
under base field extension 309
References 315
List of symbols 319
Glossary 322 |
| any_adam_object | 1 |
| author | Delfs, Hans 1949- Knebusch, Manfred 1939- |
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| dewey-full | 516.3/5 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry 510 - Mathematics |
| dewey-raw | 516.3/5 510 |
| dewey-search | 516.3/5 510 |
| dewey-sort | 3516.3 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-11-12T15:02:36Z |
| institution | BVB |
| isbn | 3540160604 0387160604 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000257100 |
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| physical | XVI, 329 Seiten |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Springer |
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| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Delfs, Hans 1949- (DE-588)132994895 aut Locally semialgebraic spaces Hans Delfs ; Manfred Knebusch Berlin, [u.a.] Springer [1985] © 1985 XVI, 329 Seiten txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1173 Algebraïsche meetkunde gtt Géométrie algébrique Algebraic spaces Categories (Mathematics) Homotopy theory Lokal semialgebraischer Raum (DE-588)4276166-9 gnd rswk-swf Lokal semialgebraischer Raum (DE-588)4276166-9 s DE-604 Knebusch, Manfred 1939- (DE-588)1112571175 aut Erscheint auch als Online-Ausgabe 978-3-540-39744-1 Lecture notes in mathematics 1173 (DE-604)BV000676446 1173 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000257100&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Delfs, Hans 1949- Knebusch, Manfred 1939- Locally semialgebraic spaces Lecture notes in mathematics Algebraïsche meetkunde gtt Géométrie algébrique Algebraic spaces Categories (Mathematics) Homotopy theory Lokal semialgebraischer Raum (DE-588)4276166-9 gnd |
| subject_GND | (DE-588)4276166-9 |
| title | Locally semialgebraic spaces |
| title_auth | Locally semialgebraic spaces |
| title_exact_search | Locally semialgebraic spaces |
| title_full | Locally semialgebraic spaces Hans Delfs ; Manfred Knebusch |
| title_fullStr | Locally semialgebraic spaces Hans Delfs ; Manfred Knebusch |
| title_full_unstemmed | Locally semialgebraic spaces Hans Delfs ; Manfred Knebusch |
| title_short | Locally semialgebraic spaces |
| title_sort | locally semialgebraic spaces |
| topic | Algebraïsche meetkunde gtt Géométrie algébrique Algebraic spaces Categories (Mathematics) Homotopy theory Lokal semialgebraischer Raum (DE-588)4276166-9 gnd |
| topic_facet | Algebraïsche meetkunde Géométrie algébrique Algebraic spaces Categories (Mathematics) Homotopy theory Lokal semialgebraischer Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000257100&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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