5 papers
Minimum Size of a Poset Realizing as its Automorphism Group
Ponaki Das, Sainkupar Marwein Mawiong
We study the realization of finite groups as automorphism groups of finite posets. Given a finite group , let denote the smallest number of elements in a poset with $…
The Minimum Size of a Poset Realizing as its Automorphism Group
Ponaki Das, Sainkupar Marwein Mawiong
For a finite group , let denote the minimum cardinality among finite posets whose automorphism group $\Aut(P)$ is isomorphic to . While every finite group is…
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…
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…
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…