| 書目名稱 | Fixed Point Theory of Parametrized Equivariant Maps |
| 編輯 | Hanno Ulrich |
| 視頻video | http://file.papertrans.cn/345/344045/344045.mp4 |
| 叢書名稱 | Lecture Notes in Mathematics |
| 圖書封面 |  |
| 描述 | The first part of this research monograph discusses general properties of .G.-ENRBs - Euclidean Neighbourhood Retracts over .B. with action of a compact Lie group .G. - and their relations with fibrations, continuous submersions, and fibre bundles. It thus addresses equivariant point set topology as well as equivariant homotopy theory. Notable tools are vertical Jaworowski criterion and an equivariant transversality theorem. The second part presents equivariant cohomology theory showing that equivariant fixed point theory is isomorphic to equivariant stable cohomotopy theory. A crucial result is the sum decomposition of the equivariant fixed point index which provides an insight into the structure of the theory‘s coefficient group. Among the consequences of the sum formula are some Borsuk-Ulam theorems as well as some folklore results on compact Lie-groups. The final section investigates the fixed point index in equivariant .K.-theory. The book is intended to be a thorough and comprehensive presentation of its subject. The reader should be familiar with the basics of the theory of compact transformation groups. Good knowledge of algebraic topology - both homotopy and homology theor |
| 出版日期 | Book 1988 |
| 關鍵詞 | Algebraic topology; Homotopy; K-theory; cohomology; cohomology theory; fibrations; fixed point theory; homo |
| 版次 | 1 |
| doi | https://doi.org/10.1007/BFb0079799 |
| isbn_softcover | 978-3-540-50187-9 |
| isbn_ebook | 978-3-540-45950-7Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 1988 |
|Archiver|手機版|小黑屋|
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