Lloyd P. Smith

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Coarse Geometry and P. A. Smith Theory

We define a generalization of the fixed point set, called the bounded fixed set, for a group acting by isometries on a metric space. An analogue of the P. A. Smith theorem is proved for metric spaces of finite asymptotic dimension, which relates the coarse homology of the bounded fixed set to the coarse homology of the total space.

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ژورنال

عنوان ژورنال: Physics Today

سال: 1989

ISSN: 0031-9228,1945-0699

DOI: 10.1063/1.2811130