PROPER r - MAPS OF T - MODULES BY ALAN A
نویسندگان
چکیده
In investigating homotopy equivalences of smooth G-manifolds where G is a compact Lie group, Pétrie [3], [4], [5] makes use of proper G-maps of degree 1 from one G-module to another of the same complex dimension. The first nontrivial example of such a map, called a quasi-equivalence, was given by Pétrie [6] for two-dimensional S -modules. Necessary and sufficient conditions for the existence of a quasi-equivalence when G is any compact Lie group are now known [2]. For simplicity, the case where G is a torus T is outlined here.
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