2 papers
math.CT2026
Hyperstructures as complete atomic Boolean algebras
Ariel E. Rosenfield
We show that several categories of hyperstructures, including the mosaics of Nakamura and Reyes and the hypergroups of Marty, are realizable as categories of objects with extra str…
math.CT2025
Enriched coverages and sheaves under change of base
Ariel E. Rosenfield
We investigate how change of enriching base category via a faithful, conservative right adjoint functor interacts with enriched coverages and sheaves on a given enriched category.…