additive monoids 1arithmetic progressions 1evolution algebras 1graph invariants 1grothendieck ring 1integer subsets 1mapping degree sets 1non-degenerate algebras 1realization problem 1tensor product 1zero divisors 1
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math.AT2026
Realizing additive monoids as mapping degree sets
Cristina Costoya, Vicente Muñoz, Bruno Valverde-Morales +1
The paper proves that mapping degree sets are stable under multiplication by finite integer subsets containing 0 and under operations derived from additive submonoids of ℤ, and sho…
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…