Inverse spectra:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam [u.a.]
Elsevier
1996
|
| Schriftenreihe: | North-Holland mathematical library
53 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 421 S. graph. Darst. |
| ISBN: | 0444822259 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804125511475003392 |
|---|---|
| adam_text | Contents
Preface v
Chapter 1. Inverse Spectra 1
1.1. Preliminary information 1
1.2. Definitions and elementary properties of inverse spectra 11
1.3. Factorizing spectra and the spectral theorem 17
Chapter 2. Infinite Dimensional Manifolds 33
2.1. Absolute extensors and absolute retracts 33
2.2. Z sets in ANR sp ces 47
2.3. Rw and Iw manifolds 61
2.4. Topology of R and / manifolds 72
2.5. Incomplete manifolds 93
Chapter 3. Cohomological Dimension 97
3.1. Cohomological Dimension 97
3.2. Cell like mappings raising dimension 106
3.3. Universal space for cohomological dimension 116
Chapter 4. Menger Manifolds 127
4.1. General Theory 127
4.2. n soft mappings of compacta, raising dimension 136
4.3. n soft mappings of Polish spaces, raising dimension 156
4.4. Further properties of Menger manifolds 163
4.5. Homeomorphism Groups 177
4.6. u; soft map of a onto E 182
Chapter 5. Nobeling Manifolds 189
5.1. Strongly .A^n universal spaces 190
5.2. Pseudo interiors and pseudo boundaries of Menger compacta 196
5.3. Geometric pseudo boundaries 201
5.4. Equivalence of categorical and geometric pseudo interiors 205
5.5. Equivalence of the Nobeling space and the pseudo interior of fin 210
ix
x CONTENTS
5.6. Further properties of Nobeling spaces 212
5.7. Open subspaces of Nobeling spaces 218
Chapter 6. General Theory of Absolute Extensors in Dimension n and
n soft Mappings 227
6.1. ANE(n) sp ces and n soft mappings 227
6.2. Morphisms of spectra and square diagrams 239
6.3. Spectral characterizations of n soft mappings 251
6.4. Further properties of ^4iJ(0) spaces 261
6.5. Strongly universal spaces 273
Chapter 7. Topology of Non Metrizable Manifolds 279
7.1. Non metrizable manifolds 279
7.2. Topological characterization of IT manifolds 289
7.3. Topological characterization of Rr manifolds 298
7.4. Trivial bundles 302
Chapter 8. Applications 311
8.1. Uncountable powers of countable discrete spaces 311
8.2. Spectral representations of topological groups 314
8.3. Locally convex linear topological spaces 319
8.4. Shape properties of non metrizable compacta 325
8.5. Fixed point sets of Tychonov cubes 335
8.6. Compact groups and fixed point sets 350
8.7. Group actions 374
8.8. Baire isomorphisms 382
8.9. Double spectra 387
8.10. Skeletoids in Tychonov cubes 397
Bibliography 403
Subject Index 419
|
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| id | DE-604.BV011022212 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:02:43Z |
| institution | BVB |
| isbn | 0444822259 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007379280 |
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| physical | X, 421 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Elsevier |
| record_format | marc |
| series | North-Holland mathematical library |
| series2 | North-Holland mathematical library |
| spelling | Chigogidze, Alex Verfasser aut Inverse spectra A. Chigogidze Amsterdam [u.a.] Elsevier 1996 X, 421 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier North-Holland mathematical library 53 Théorie spectrale (mathématiques) ram Spectral theory (Mathematics) Inverses Spektrum (DE-588)4314038-5 gnd rswk-swf Inverses Spektrum (DE-588)4314038-5 s DE-604 North-Holland mathematical library 53 (DE-604)BV000005206 53 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007379280&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Chigogidze, Alex Inverse spectra North-Holland mathematical library Théorie spectrale (mathématiques) ram Spectral theory (Mathematics) Inverses Spektrum (DE-588)4314038-5 gnd |
| subject_GND | (DE-588)4314038-5 |
| title | Inverse spectra |
| title_auth | Inverse spectra |
| title_exact_search | Inverse spectra |
| title_full | Inverse spectra A. Chigogidze |
| title_fullStr | Inverse spectra A. Chigogidze |
| title_full_unstemmed | Inverse spectra A. Chigogidze |
| title_short | Inverse spectra |
| title_sort | inverse spectra |
| topic | Théorie spectrale (mathématiques) ram Spectral theory (Mathematics) Inverses Spektrum (DE-588)4314038-5 gnd |
| topic_facet | Théorie spectrale (mathématiques) Spectral theory (Mathematics) Inverses Spektrum |
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