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;

D O I：

暂无

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学科分类号：

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.

引用

页码：571 / 576

页数：5

共 9 条

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[2] Poenaru undefined(1991)undefined Duke Math. J. 63 431-undefined
[3] Funar undefined(2001)undefined Atti Sem. Mat. Fis. Univ. Modena 49 15-undefined
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[5] Funar undefined(2004)undefined I.M.R.N. 24 1193-undefined
[6] Tucker undefined(1974)undefined Topology 73 267-undefined
[7] Mihalik undefined(1997)undefined Trans. Amer. Math. Soc. 349 4251-undefined
[8] Brick undefined(1995)undefined Int. J. Comp. Algebra 5 199-undefined
[9] Brick undefined(1995)undefined Math. Zeitschrift 220 207-undefined

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