On the Proper Homotopy Invariance of the Tucker Property

被引：0
|
作者：
Daniele Ettore Otera
机构：
[1] Dipartimento di Matematica ed Applicazioni,Universitá di Palermo
[2] Mathématiques,Université Paris
[3] Bât 425,Sud
来源：
Acta Mathematica Sinica, English Series | 2007年 / 23卷
关键词：
proper homotopy; -theory; tucker property; 57Q05; 57N35; 55P57;
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摘要：
A non-compact polyhedron P is Tucker if, for any compact subset K ⊂ P, the fundamental group π1(P − K) is finitely generated. The main result of this note is that a manifold which is proper homotopy equivalent to a Tucker polyhedron is Tucker. We use Poenaru’s theory of the equivalence relations forced by the singularities of a non-degenerate simplicial map.
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页码：571 / 576
页数：5
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