3 papers
math.CO2023
On the Connectivity of the Vietoris-Rips Complex of a Hypercube Graph
Martin Bendersky, Jelena Grbic
We bring in the techniques of independence complexes and the notion of total dominating sets of a graph to bear on the question of the connectivity of the Vietoris-Rips complexes $…
math.AT2023
Normalizer decompositions of p-local compact groups
Eva Belmont, Natalia Castellana, Jelena Grbic +2
We give a normalizer decomposition for a p-local compact group (S, F, L) that describes |L| as a homotopy colimit indexed over a finite poset. Our work generalizes the normalizer d…
math.AT2021
Normalizers of chains of discrete -toral subgroups in compact Lie groups
Eva Belmont, Natàlia Castellana, Jelena Grbić +2
In this paper we study the normalizer decomposition of a compact Lie group using the information of the fusion system of on a maximal discrete -toral subgr…