Finitistic Spaces with the Orbit Space FP^n x S^m
Algebraic Topology
2023-06-07 v1
Abstract
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/G is isomorphic to the product of a projective space and sphere FP^n x S^m, where F = R, C or H, respectively. For a free involution on X, a lower bound of covering dimension of the coincidence set of a continuous map f: X -> R^k is also determined.
Keywords
Cite
@article{arxiv.2306.03738,
title = {Finitistic Spaces with the Orbit Space FP^n x S^m},
author = {Anju Kumari and Hemant Kumar Singh},
journal= {arXiv preprint arXiv:2306.03738},
year = {2023}
}