Showing math.ATShow all
3 papers · 1 filter
math.AT2026
On Weakly Contractible Non-Contractible Finite Topological Spaces of Ten Points
Ponaki Das, Sainkupar Marwein Mawiong
Cianci and Ottina proved that a homotopically trivial non-contractible finite -space has at least nine points, and classified such spaces with exactly nine points. We complete…
math.AT2024
Multiple Cylinder of Relations for Finite Spaces and Nerve Theorem for Strong-Good Cover
Ponaki Das, Sainkupar Marwein Mawiong
In this paper, we develop the concept of multiple cylinder of relations which is a generalization of the relation cylinder, extending the multiple non-Hausdorff mapping cylinder to…
math.AT2024
Minimal finite models of wedges of spheres with at most eight points
Ponaki Das, Sainkupar Marwein Mawiong
A minimal finite model of a topological space is a finite -space of least cardinality that is weak homotopy equivalent to it. We determine, up to homeomorphism, the minimal fi…