3 papers
math.AT2025
Rigidifying simplicial complexes and realizing group actions
Cristina Costoya, Rafael Gomes, Antonio Viruel
We show that any action of a finite group on a finitely presentable group arises as the action of the group of self-homotopy equivalences of a space on its fundamental group. In do…
math.AT2024
On properties of effective topological complexity and effective Lusternik-Schnirelmann category
Zbigniew Błaszczyk, Arturo Espinosa Baro, Antonio Viruel
The notion of effective topological complexity, introduced by Błaszczyk and Kaluba, deals with using group actions in the configuration space in order to reduce the complexity of t…
math.AT2010
Cohomological uniqueness of some -groups
Antonio Díaz, Albert Ruiz, Antonio Viruel
In this paper we consider classifying spaces of a family of -groups and we prove that mod cohomology enriched with Bockstein spectral sequences determines their homotopy typ…