<電子ブック>
Simplicial Homotopy Theory / by Paul G. Goerss, John F. Jardine
(Progress in Mathematics. ISSN:2296505X ; 174)
版 | 1st ed. 1999. |
---|---|
出版者 | Basel : Birkhäuser Basel : Imprint: Birkhäuser |
出版年 | 1999 |
本文言語 | 英語 |
大きさ | XV, 510 p : online resource |
著者標目 | *Goerss, Paul G author Jardine, John F author SpringerLink (Online service) |
件 名 | LCSH:Algebraic topology LCSH:Topology FREE:Algebraic Topology FREE:Topology |
一般注記 | I Simplicial sets -- 1. Basic definitions -- 2. Realization -- 3. Kan complexes -- 4. Anodyne extensions -- 5. Function complexes -- 6. Simplicial homotopy -- 7. Simplicial homotopy groups -- 8. Fundamental groupoid -- 9. Categories of fibrant objects -- 10. Minimal fibrations -- 11. The closed model structure -- II Model Categories -- 1. Homotopical algebra -- 2. Simplicial categories -- 3. Simplicial model categories -- 4. The existence of simplicial model category structures -- 5. Examples of simplicial model categories -- 6. A generalization of Theorem 4.1 -- 7. Quillen’s total derived functor theorem -- 8. Homotopy cartesian diagrams -- III Classical results and constructions -- 1. The fundamental groupoid, revisited -- 2. Simplicial abelian groups -- 3. The Hurewicz map -- 4. The Ex? functor -- 5. The Kan suspension -- IV Bisimplicial sets -- 1. Bisimplicial sets: first properties -- 2. Bisimplicial abelian groups -- 3. Closed model structures for bisimplicial sets -- 4. The Bousfield-Friedlander theorem -- 5. Theorem B and group completion -- V Simplicial groups -- 1. Skeleta -- 2. Principal fibrations I: simplicial G-spaces -- 3. Principal fibrations II: classifications -- 4. Universal cocycles and $$ \bar W $$G -- 5. The loop group construction -- 6. Reduced simplicial sets, Milnor’s FK-construction -- 7. Simplicial groupoids -- VI The homotopy theory of towers -- 1. A model category structure for towers of spaces -- 2. The spectral sequence of a tower of fibrations -- 3. Postnikov towers -- 4. Local coefficients and equivariant cohomology -- 5. On k-invariants -- 6. Nilpotent spaces -- VII Reedy model categories -- 1. Decomposition of simplicial objects -- 2. Reedy model category structures -- 3. Geometric realization -- 4. Cosimplicial spaces -- VIII Cosimplicial spaces: applications -- 1. The homotopyspectral sequence of a cosimplicial space -- 2. Homotopy inverse limits -- 3. Completions -- 4. Obstruction theory -- IX Simplicial functors and homotopy coherence -- 1. Simplicial functors -- 2. The Dwyer-Kan theorem -- 3. Homotopy coherence -- 4. Realization theorems -- X Localization -- 1. Localization with respect to a map -- 2. The closed model category structure -- 3. Bousfield localization -- 4. A model for the stable homotopy category -- References HTTP:URL=https://doi.org/10.1007/978-3-0348-8707-6 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
|
Springer eBooks | 9783034887076 |
|
電子リソース |
|
EB00231604 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA612-612.8 DC23:514.2 |
書誌ID | 4000107699 |
ISBN | 9783034887076 |
類似資料
この資料の利用統計
このページへのアクセス回数:4回
※2017年9月4日以降