Vol. 56, No. 2, 1975

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The converse to the Smith theorem for Zp-homology spheres

Stephen Jeffrey Willson

Vol. 56 (1975), No. 2, 597–605
Abstract

Let X be a finite CW complex with the Zρ homology of an n-sphere. Let Zρ act cellularly on X. The Smith theorem asserts that the fixed point set XZρ has the Zρ homology of an m-sphere for 1 m n. A converse to this Smith theorem is proved.

Mathematical Subject Classification
Primary: 57C35
Secondary: 57E15
Milestones
Received: 1 May 1974
Published: 1 February 1975
Authors
Stephen Jeffrey Willson