2024/05/22 by Ponaki Das, Das, Ponaki, Sainkupar Marwein Mawiong +1 · 1 citation
Computer Science · Engineering · #06A99 #18B35 #55P10 #55P15 #Advanced Numerical Analysis Techniques #Algebraic Topology (math.AT) #Computational Geometry and Mesh Generation #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.2405.13385
openalex publication_date 2024/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 that of the circle S1. Furthermore, we prove that both S2\vee S1 and S2\vee S2 admit minimal finite models on exactly seven points, and that each of S1\vee S1\vee S2, S1\vee S1\vee S1\vee S2, S1\vee S2\vee S2, S2\vee S2\vee S2, and S2\vee S2\vee S2\vee S2 admits a minimal finite model on exactly eight points.