Orbit spaces of free involutions on the product of three spheres

Abstract

In this paper, we have determined the orbit spaces of free involutions on a finitistic space having mod 2 cohomology of the product of three spheres ${\mathbb{S}}^n\times {\mathbb{S}}^m\times {\mathbb{S}}^l,1\le n\le m\le l$. This paper generalizes the results proved by Dotzel et al. [6] for free involutions on the product of two sphere ${\mathbb{S}}^n\times {\mathbb{S}}^m,1\le n\le m.$