Simplicial Homotopy Theory:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1999
|
| Schriftenreihe: | Progress in Mathematics
174 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-3-0348-8707-6 |
| Beschreibung: | Since the beginning of the modern era of algebraic topology, simplicial methods have been used systematically and effectively for both computation and basic theory. With the development of Quillen's concept of a closed model category and, in particular, a simplicial model category, this collection of methods has become the primary way to describe non-abelian homological algebra and to address homotopy-theoretical issues in a variety of fields, including algebraic K-theory. This book supplies a modern exposition of these ideas, emphasizing model category theoretical techniques. Discussed here are the homotopy theory of simplicial sets, and other basic topics such as simplicial groups, Postnikov towers, and bisimplicial sets. The more advanced material includes homotopy limits and colimits, localization with respect to a map and with respect to a homology theory, cosimplicial spaces, and homotopy coherence. Interspersed throughout are many results and ideas well-known to experts, but uncollected in the literature. Intended for second-year graduate students and beyond, this book introduces many of the basic tools of modern homotopy theory. An extensive background in topology is not assumed |
| Umfang: | 1 Online-Ressource (XV, 510 p) |
| ISBN: | 9783034887076 9783034897372 |
| DOI: | 10.1007/978-3-0348-8707-6 |
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| id | DE-604.BV042422213 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:46Z |
| institution | BVB |
| isbn | 9783034887076 9783034897372 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857630 |
| oclc_num | 869859720 |
| open_access_boolean | |
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| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XV, 510 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Birkhäuser Basel |
| record_format | marc |
| series2 | Progress in Mathematics |
| spellingShingle | Goerss, Paul G. Simplicial Homotopy Theory Mathematics Mathematics, general Mathematik Homotopietheorie (DE-588)4128142-1 gnd Simplex (DE-588)4181484-8 gnd |
| subject_GND | (DE-588)4128142-1 (DE-588)4181484-8 |
| title | Simplicial Homotopy Theory |
| title_auth | Simplicial Homotopy Theory |
| title_exact_search | Simplicial Homotopy Theory |
| title_full | Simplicial Homotopy Theory by Paul G. Goerss, John F. Jardine |
| title_fullStr | Simplicial Homotopy Theory by Paul G. Goerss, John F. Jardine |
| title_full_unstemmed | Simplicial Homotopy Theory by Paul G. Goerss, John F. Jardine |
| title_short | Simplicial Homotopy Theory |
| title_sort | simplicial homotopy theory |
| topic | Mathematics Mathematics, general Mathematik Homotopietheorie (DE-588)4128142-1 gnd Simplex (DE-588)4181484-8 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Homotopietheorie Simplex |
| url | https://doi.org/10.1007/978-3-0348-8707-6 |
| work_keys_str_mv | AT goersspaulg simplicialhomotopytheory AT jardinejohnf simplicialhomotopytheory |