3 papers
math.GN2026
Furtherness in finite topological spaces
Akhilesh Badra, Hemant Kumar Singh
In this paper, we introduce a novel distance-like notion of furtherness for finite topological spaces, demonstrating that every finite space can be viewed as an asymmetric pseudome…
math.AT2025
Free Circle Actions on the Product of Three Spheres
Dimpi, Hemant Kumar Singh
The orbit spaces of free S^0-actions on the mod 2 cohomology product of three spheres, S^n x S^m x S^l, 1 <= n <= m <= l have been determined in [6]. In this paper, we extend these…
math.GN2024
Center and radius of a subset of metric space
Akhilesh Badra, Hemant Kumar Singh
In this paper, we introduce a notion of the center and radius of a subset A of metric space X. In the Euclidean spaces, this notion can be seen as the extension of the center and r…