Lectures on homotopy theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam [u.a.]
North-Holland
1992
|
| Schriftenreihe: | North-Holland mathematics studies
171 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 293 S. |
| ISBN: | 0444892389 |
Internformat
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| 100 | 1 | |a Piccinini, Renzo A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Lectures on homotopy theory |c Renzo A. Piccinini |
| 264 | 1 | |a Amsterdam [u.a.] |b North-Holland |c 1992 | |
| 300 | |a XII, 293 S. | ||
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Datensatz im Suchindex
| _version_ | 1804118935927259136 |
|---|---|
| adam_text | Contents
1 Homotopy Groups 1
1.1 Function spaces 1
1.2 H spaces and CoH spaces 10
1.3 Homotopy groups 27
2 Fibrations and Cofibrations 35
2.1 Pullbacks and pushouts 35
2.2 Fibrations 41
2.3 Cofibrations 50
2.4 Applications of the mapping cylinder 63
3 Exact Homotopy Sequences 73
3.1 Exact sequence of a map: covariant case 73
3.2 Exact sequence of a map: contravariant case 79
4 Simplicial Complexes 85
4.1 Simplicial complexes 85
4.2 Simplical approximation theorem 95
4.3 Polyhedra 100
4.4 Fibrations and polyhedra 106
5 Relative Homotopy Groups 117
5.1 Homotopy groups of maps 117
5.2 Quasifibrations 141
5.3 Some homotopy groups of spheres 147
xii CONTENTS
6 Homotopy Theory of CW Complexes 153
6.1 CW complexes 153
6.2 Homotopy theory of CW complexes 174
6.3 Eilenberg Mac Lane spaces 197
7 Fibrations Revisited 215
7.1 Sections of fibrations 215
7.2 .T7 Fibrations 236
7.3 Universal ^ fibrations 255
A Colimits 267
B Compactly generated spaces 277
Bibliography 285
Index 289
|
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| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV004825494 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:18:12Z |
| institution | BVB |
| isbn | 0444892389 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002968648 |
| oclc_num | 246656933 |
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| physical | XII, 293 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | North-Holland |
| record_format | marc |
| series | North-Holland mathematics studies |
| series2 | North-Holland mathematics studies |
| spelling | Piccinini, Renzo A. Verfasser aut Lectures on homotopy theory Renzo A. Piccinini Amsterdam [u.a.] North-Holland 1992 XII, 293 S. txt rdacontent n rdamedia nc rdacarrier North-Holland mathematics studies 171 Homotopie (DE-588)4025803-8 gnd rswk-swf Homotopie (DE-588)4025803-8 s DE-604 North-Holland mathematics studies 171 (DE-604)BV000003247 171 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002968648&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Piccinini, Renzo A. Lectures on homotopy theory North-Holland mathematics studies Homotopie (DE-588)4025803-8 gnd |
| subject_GND | (DE-588)4025803-8 |
| title | Lectures on homotopy theory |
| title_auth | Lectures on homotopy theory |
| title_exact_search | Lectures on homotopy theory |
| title_full | Lectures on homotopy theory Renzo A. Piccinini |
| title_fullStr | Lectures on homotopy theory Renzo A. Piccinini |
| title_full_unstemmed | Lectures on homotopy theory Renzo A. Piccinini |
| title_short | Lectures on homotopy theory |
| title_sort | lectures on homotopy theory |
| topic | Homotopie (DE-588)4025803-8 gnd |
| topic_facet | Homotopie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002968648&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003247 |
| work_keys_str_mv | AT piccininirenzoa lecturesonhomotopytheory |