De Morgan's law in toposes I

Published 2 Jul 2025 in math.CT and math.LO | (2507.01869v1)

Abstract: We study toposes satisfying De Morgan's law, in particular we give characterizations of geometric theories whose classifying topos is De Morgan, clarifying the link with the amalgamation property of the category of models of such theory. We then give several ways of turning a topos into a De Morgan topos.

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