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  1. Topology and Dynamics
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  5. 2026

Topology and Computing

Icon: calendar TC Session Talk #1.2 | 2026 Jul 13 from 11:00AM to 11:25AM (Zagreb) | B3-68

Subevent of TC Session #1

‟Simplicial LS Category bounds for iterated subdivisions of pure simplicial complexes” by Manuel Arriaza-Rincon, David Mosquera-Lois and José Antonio Vilches

Abstract:

The Lusternik-Schnirelmann (LS) category is a fundamental invariant in modern algebraic topology. Its discrete analogue, the simplicial LS category, provides similar topological insights for finite simplicial complexes; however, computing its exact value remains remarkably difficult in most cases. In this talk, we introduce a novel approach to find an upper-bound for the simplicial LS category of pure simplicial complexes by using the point-arboricity of their underlying graphs, and discuss explicit categorical coverings of such spaces based on this approach.