Orbit spaces of free involutions on the product of three spheres

AbstractIn 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 . This paper generalizes the results proved by Dotzel et al. 7 for free involutions on the product of two sphere . As an application, we have also derived the Borsuk-Ulam type results.Mathematics Subject Classification (2020): Primary: 57S17Secondary: 57S25Key words: Free actionfinitistic spaceLeray-Serre spectral sequenceorbit spaces