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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A USEFUL LEMMA ON EQUIVARIANT MAPS

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Author(s):
Goncalves, D. [1] ; Skopenkov, A. [2, 3]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Dept Matemat, IME, BR-05314970 Sao Paulo, SP - Brazil
[2] Moscow Inst Phys & Technol, Fac Innovat & High Technol, Dolgoprudnyi 141700 - Russia
[3] Independent Univ Moscow, Moscow 119002 - Russia
Total Affiliations: 3
Document type: Journal article
Source: HOMOLOGY HOMOTOPY AND APPLICATIONS; v. 16, n. 2, p. 307-309, 2014.
Web of Science Citations: 0
Abstract

We present a short proof of the following known result. Suppose X, Y are finite connected CW-complexes with free involutions, f: X -> Y is an eguivariant map, and l is a non-negative integer. If f{*} : H-i(Y) -> H-i(X) is an isomorphism for each i > l and is onto for i =l, then f(\#): pi(i)(eq)(Y) -> pi(i)(eq)(X) is a 1-1 correspondence for i > l and is onto for i =l. (AU)