8 citations · 14 across the 6 of their papers we have counts for
5 papers · 1 filter
Kunneth Theorems for Vietoris-Rips Homology
Antonio Rieser, Alejandra Trujillo
We prove a Kunneth theorem for the Vietoris-Rips homology and cohomology of a semi-uniform space. We then interpret this result for graphs, where we show that the Kunneth theorem h…
On the virtually-cyclic dimension of surface braid groups and right-angled Artin groups
Alejandra Trujillo-Negrete
We give a bound for the virtually cyclic dimension of groups with a normal subgroup of finite index which satisfies that every infinite virtually-cyclic subgroup is contained in a…
On the virtually-cyclic dimension of mapping class groups of punctured spheres
J. Aramayona, D. Juan-Pineda, A. Trujillo-Negrete
We calculate the virtually-cyclic dimension of the mapping class group of a sphere with at most six punctures. As an immediate consequence, we obtain the virtually-cyclic dimension…
Models for classifying spaces for
Daniel Juan-Pineda, Alejandra Trujillo-Negrete
We construct two models for the classifying space for the family of infinite cyclic subgroups of the fundamental group of the Klein bottle. These examples do not fit in general con…
On classifying spaces for the family of virtually cyclic subgroups in mapping class groups
Daniel Juan-Pineda, Alejandra Trujillo-Negrete
We give a bound for the geometric dimension for the family of virtually cyclic groups in mapping class groups of a compact surface with punctures, possibly with nonempty boundary a…