Orbit spaces of free involutions on the product of three spheres

2023/03/29 by Hemant Kumar Singh, Dimpi, Singh, Hemant Kumar · 1 citation
Mathematics · #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Primary 57S17 #Secondary 57S25

paper · pdf · doi:10.48550/arxiv.2303.16474

openalex publication_date 2023/03/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 \mathbbSⁿ× \mathbbS^m × \mathbbS^l, 1 ≤ n ≤ m ≤ l. This paper generalizes the results proved by Dotzel et al. [6] for free involutions on the product of two sphere \mathbbSⁿ × \mathbbS^m,1≤ n≤ m.

Cited by

• Free Circle Actions on the Product of Three Spheres

Related

• Fixed Point Sets of Involutions on the Product of Three Spheres
• Free Circle Actions on the Product of Three Spheres
• Involution on the product of projective space and sphere
• Finitistic Spaces with the Orbit Space FPⁿ x S^m
• Cohomology algebra of orbit spaces of free involutions on some Wall manifolds