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 Sⁿ ×S^m ×S^l, 1 ≤ n ≤ m ≤ l. This paper generalizes the results proved by Dotzel et al. [7] for free involutions on the product of two sphere Sⁿ ×S^m, 1 ≤ n ≤ m. As an application, we have also derived the Borsuk-Ulam type results.