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math.AT2023

Fixed Point Sets of Involutions on the Product of Three Spheres

Dimpi, Hemant Kumar Singh

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 involution…

math.AT2023

Finitistic Spaces with the Orbit Space FP^n x S^m

Anju Kumari, Hemant Kumar Singh

Let G = S^d, d = 0, 1 or 3, act freely on a finitistic connected space X. This paper gives the cohomology classification of X if a mod 2 or rational cohomology of the orbit space X…

math.AT2023

Finitistic Spaces with Orbit Space a Product of Projective Spaces

Anju Kumari, Hemant Kumar Singh

Let G = Z2 act freely on a nitistic space X. If the mod 2 cohomology of X is isomorphic to the real projective space RP^{2n+1} (resp. complex projective space CP^{2n+1}) then the m…

math.AT2023

Involutions on the product of Quaternionic Projective space and Sphere

Dimpi, Hemant Kumar Singh

Let G = Z2 act on a finite CW-complex X having mod 2 cohomology isomorphic to the product of quaternionic projective space and sphere HPn x Sm, n, m > or = 1. This paper is concern…

math.AT2023

Fixed point sets and orbit spaces of wedge of three spheres

Dimpi, Hemant Kumar Singh

Let be a finite CW-complex having mod cohomology isomorphic to a wedge of three spheres . The aim o…

math.AT2023

Involution on the product of projective space and sphere

Dimpi, Hemant Kumar Singh

Let act on a finite CW-complex having mod 2 cohomology isomorphic to the product of projective space and sphere where $\mat…

math.AT2023

Orbit spaces of free involutions on the product of three spheres

Dimpi, Hemant Kumar Singh

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}^…