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Rigidity of Coxeter groups |
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| Authors: | Stratos Prassidis Barry Spieler |
| Institution: | Coordenação de Pós-Graduação em Matemática, Rua Mário Santos Braga, Valonguinho Niterói, RJ 24020-005, Brazil Barry Spieler ; Division of Science and Mathematics, Birmingham-Southern College, Birmingham, Alabama 35254 |
| Abstract: | Let  be a Coxeter group acting properly discontinuously and cocompactly on manifolds  and  such that the fixed point sets of finite subgroups are contractible. Let  be a  -homotopy equivalence which restricts to a  -homeomorphism on the boundary. Under an assumption on the three dimensional fixed point sets, we show that then  is  -homotopic to a  -homeomorphism. |
| Keywords: | Coxeter groups reflection groups rigidity theorems equivariant topological Whitehead group |
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