3 papers
math.AT2025
Sectional category of subgroup inclusions and sequential topological complexities of aspherical spaces as A-genus
Arturo Espinosa Baro
In this paper we characterize the sectional category of subgroup inclusions and the -sequential topological complexity of aspherical spaces of a group G in terms of the A-g…
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.AT2017
A cohomological characterization of nilpotent fusion systems
Antonio Díaz Ramos, Arturo Espinosa Baro, Antonio Viruel
We provide a nilpotency criterion for fusion systems in terms of the vanishing of its cohomology with twisted coefficients.