Fixed Point Sets of Involutions on the Product of Three Spheres

TL;DR

This paper investigates the fixed point sets of involutions on spaces with cohomology like a product of three spheres, extending previous results from two spheres to three.

Contribution

It generalizes existing results by determining fixed point sets of involutions on the product of three spheres, expanding understanding beyond the two-sphere case.

Findings

Fixed point sets characterized for involutions on S^n x S^m x S^l

Extension of previous two-sphere results to three-sphere products

Provides new insights into involution actions on complex topological spaces

Abstract

Let G = Z2 act on a finitistic space X having mod 2 cohomology of the product of three spheres S^n x S^m x S^l. In this paper, we have determined the fixed point sets of involutions on X. This generalizes J. C. Su [12] results for involutions on the product of two sphere S^n x S^m.