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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 cannot have fewer than nine points and classified all such spaces with exactly nine points…
math.AT2025
Minimal Finite Model of Wedge Sum of Spheres
Ponaki Das, Sainkupar Marwein Mawiong
We classify minimal finite models of the Möbius band and several wedge sums of spheres. In particular, we show that the minimal finite model of the Möbius band coincides with tha…
math.AT2025
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…