11 citations · 37 across the 17 of their papers we have counts for
10 papers · 1 filter
Realizing additive monoids as mapping degree sets
Cristina Costoya, Vicente Muñoz, Bruno Valverde-Morales +1
We prove that mapping degree sets are stable under multiplication by finite subsets of containing and by sets obtained from additive submonoids of throu…
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…
Realization of permutation modules via Alexandroff spaces
Cristina Costoya, Rafael Gomes, Antonio Viruel
We raise the question of the realizability of permutation modules in the context of Kahn's realizability problem for abstract groups and the -Moore space problem. Specifically,…
Realisability problem in arrow categories
Cristina Costoya, David Méndez, Antonio Viruel
In this paper we raise the realisability problem in arrow categories. Namely, for a fixed category and for arbitrary groups , is there an object $…
The group of self-homotopy equivalences of -polyhedra
Cristina Costoya, David Méndez, Antonio Viruel
Let be a finite type -polyhedron, . In this paper we study the quotient group , where is the group of self-ho…
Homotopically rigid Sullivan algebras and Their applications
Cristina Costoya, David Méndez, Antonio Viruel
In this paper we construct an infinite family of homotopically rigid spaces. These examples are then used as building blocks to forge highly connected rational spaces with prescrib…