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https://elib.bsu.by/handle/123456789/26616| Title: | Isovariant extensors and the characterization of equivariant homotopy equivalences |
| Authors: | Ageev, S. M. |
| Keywords: | ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Математика |
| Issue Date: | 2012 |
| Publisher: | London Mathematical Society, Turpion Ltd, and the Russian Academy of Sciences |
| Citation: | Izvestiya: Mathematics. – 2012. – Vol. 76, iss. 5. – P. 857-880. |
| Abstract: | We extend the well-known theorem of James–Segal to the case of an arbitrary family F of conjugacy classes of closed subgroups of a compact Lie group G: a G-map f : X ! Y of metric EquivF-ANE-spaces is a G-homotopy equivalence if and only if it is a weak G-F-homotopy equivalence. The proof is based on the theory of isovariant extensors, which is developed in this paper and enables us to endow F-classifying G-spaces with an additional structure. |
| URI: | http://elib.bsu.by/handle/123456789/26616 |
| ISSN: | 1064-5632 (Print), 1468-4810 (Online) |
| Appears in Collections: | Архив статей механико-математического факультета до 2016 г. |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Isovariant extensors and the characterization of equivariant homotopy equivalences.pdf | 318,72 kB | Adobe PDF | View/Open |
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