Monoid Properties as Invariants of Toposes of Monoid Actions

Published 22 Apr 2020 in math.CT and math.RA | (2004.10513v1)

Abstract: We systematically investigate, for a monoid $M$, how topos-theoretic properties of $\mathbf{PSh}(M)$, including the properties of being atomic, strongly compact, local, totally connected or cohesive, correspond to semigroup-theoretic properties of $M$.

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