Rigidity of Coxeter groups

被引：6

作者：

Prassidis, S

Spieler, B

机构：

[1] Coordenacao Posgrad Matemat, BR-24020005 Niteroi, RJ, Brazil

[2] Birmingham So Coll, Div Sci & Math, Birmingham, AL 35254 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 352卷 / 06期

关键词：

Coxeter groups; reflection groups; rigidity theorems; equivariant topological Whitehead group;

D O I：

10.1090/S0002-9947-00-02574-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let W be a Coxeter group acting properly discontinuously and cocompactly on manifolds N and M (partial derivative M = ) such that the fixed point sets of finite subgroups are contractible. Let f : (N, partial derivative N) --> (M x D-k, M x Sk-1) be a W-homotopy equivalence which restricts to a W-homeomorphism on the boundary. Under an assumption on the three dimensional fixed point sets, we show that then f is W-homotopic to a W-homeomorphism.

引用

页码：2619 / 2642

页数：24

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