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math.AT2023
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,…
math.GT2023
Finite sets containing zero are mapping degree sets
Cristina Costoya, Vicente Muñoz, Antonio Viruel
In this paper we solve in the positive the question of whether any finite set of integers, containing the zero, is the mapping degree set between two oriented closed connected mani…