4 papers
On open covers of aspherical spaces satisfying -constraints and bounded Adamson cohomology
Arturo Espinosa Baro, Stephan Mescher
Given a topological space and a family of subgroups of , the -category of is given as one less than the cardinality of the smallest cover…
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…
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…
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.