Spaces of PL manifolds and categories of simple maps:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Princeton
Princeton Univ. Press
2013
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| Series: | Annals of mathematics studies
186 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 184 S. |
| ISBN: | 9780691157757 9780691157764 0691157766 |
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Record in the Search Index
| _version_ | 1804150400402587648 |
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| adam_text | Titel: Spaces of PL manifolds and categories of simple maps
Autor: Waldhausen, Friedhelm
Jahr: 2013
Contents
Introduction 1
1. The stable parametrized h-cobordism theorem 7
1.1. The manifold part 7
1.2. The non-manifold part 13
1.3. Algebraic if-theory of Spaces 15
1.4. Relation to other literature 20
2. On simple maps 29
2.1. Simple maps of simplicial sets 29
2.2. Normal subdivisión of simplicial sets 34
2.3. Geometrie realization and subdivisión 42
2.4. The reduced mapping cylinder 56
2.5. Making simplicial sets non-singular 68
2.6. The approximate lifting property 74
2.7. Subdivisión of simplicial sets over Aq 83
3. The non-manifold part 99
3.1. Categories of simple maps 99
3.2. Filling horns 108
3.3. Some homotopy fiber sequences 119
3.4. Polyhedral realization 126
3.5. Turning Serre fibrations into bundles 131
3.6. Quillen s Theorems A and B 134
4. The manifold part 139
4.1. Spaces of PL manifolds 139
4.2. Spaces of thickenings 150
4.3. Straightening the thickenings 155
Bibliography 175
Symbols 179
Index 181
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| any_adam_object | 1 |
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| id | DE-604.BV041037181 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:38:19Z |
| institution | BVB |
| isbn | 9780691157757 9780691157764 0691157766 |
| language | English |
| lccn | 2012038155 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026014603 |
| oclc_num | 852533152 |
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| physical | 184 S. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Princeton Univ. Press |
| record_format | marc |
| series | Annals of mathematics studies |
| series2 | Annals of mathematics studies |
| spelling | Waldhausen, Friedhelm Verfasser aut Spaces of PL manifolds and categories of simple maps Friedhelm Waldhausen ; Bjørn jahren ; John Rognes Princeton Princeton Univ. Press 2013 184 S. txt rdacontent n rdamedia nc rdacarrier Annals of mathematics studies 186 Piecewise linear topology Mappings (Mathematics) Jahren, Bjørn Verfasser aut Rognes, John 1966- Verfasser (DE-588)141363576 aut Annals of mathematics studies 186 (DE-604)BV000000991 186 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026014603&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Waldhausen, Friedhelm Jahren, Bjørn Rognes, John 1966- Spaces of PL manifolds and categories of simple maps Annals of mathematics studies Piecewise linear topology Mappings (Mathematics) |
| title | Spaces of PL manifolds and categories of simple maps |
| title_auth | Spaces of PL manifolds and categories of simple maps |
| title_exact_search | Spaces of PL manifolds and categories of simple maps |
| title_full | Spaces of PL manifolds and categories of simple maps Friedhelm Waldhausen ; Bjørn jahren ; John Rognes |
| title_fullStr | Spaces of PL manifolds and categories of simple maps Friedhelm Waldhausen ; Bjørn jahren ; John Rognes |
| title_full_unstemmed | Spaces of PL manifolds and categories of simple maps Friedhelm Waldhausen ; Bjørn jahren ; John Rognes |
| title_short | Spaces of PL manifolds and categories of simple maps |
| title_sort | spaces of pl manifolds and categories of simple maps |
| topic | Piecewise linear topology Mappings (Mathematics) |
| topic_facet | Piecewise linear topology Mappings (Mathematics) |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026014603&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000991 |
| work_keys_str_mv | AT waldhausenfriedhelm spacesofplmanifoldsandcategoriesofsimplemaps AT jahrenbjørn spacesofplmanifoldsandcategoriesofsimplemaps AT rognesjohn spacesofplmanifoldsandcategoriesofsimplemaps |