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math.AT2026
A data structure for quotient flag complexes
Konstantin Sorokin, Aleksandr Levin, Maxim Beketov +1
Vietoris-Rips filtrations, which are standard in topological data analysis, are flag complexes, and a simplex tree stores these without any attaching data. In this paper we ask wha…
math.AT2023
Coverings by open and closed hemispheres
Anton Ayzenberg, Maxim Beketov, German Magai
In this paper we study the nerves of two types of coverings of a sphere : (1) coverings by open hemispheres; (2) antipodal coverings by closed hemispheres. In the first ca…