| 書目名稱 | Rational Homotopy Theory |
| 編輯 | Yves Félix,Stephen Halperin,Jean-Claude Thomas |
| 視頻video | http://file.papertrans.cn/822/821432/821432.mp4 |
| 叢書名稱 | Graduate Texts in Mathematics |
| 圖書封面 |  |
| 描述 | as well as by the list of open problems in the final section of this monograph. The computational power of rational homotopy theory is due to the discovery by Quillen [135] and by Sullivan [144] of an explicit algebraic formulation. In each case the rational homotopy type of a topological space is the same as the isomorphism class of its algebraic model and the rational homotopy type of a continuous map is the same as the algebraic homotopy class of the correspond- ing morphism between models. These models make the rational homology and homotopy of a space transparent. They also (in principle, always, and in prac- tice, sometimes) enable the calculation of other homotopy invariants such as the cup product in cohomology, the Whitehead product in homotopy and rational Lusternik-Schnirelmann category. In its initial phase research in rational homotopy theory focused on the identi- of these models. These included fication of rational homotopy invariants in terms the homotopy Lie algebra (the translation of the Whitehead product to the homo- topy groups of the loop space OX under the isomorphism 11‘+1 (X) ~ 1I.(OX?, LS category and cone length. Since then, however, work has concentrated |
| 出版日期 | Textbook 2001 |
| 關鍵詞 | Algebraic topology; CW complex; Homotopy; Homotopy group; Loop group; cofibration; fibrations; homology; hom |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4613-0105-9 |
| isbn_softcover | 978-1-4612-6516-0 |
| isbn_ebook | 978-1-4613-0105-9Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
| issn_series | 0072-5285 |
| copyright | Springer Science+Business Media New York 2001 |
|Archiver|手機版|小黑屋|
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