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Topologies for intermediate logics

Published 11 May 2012 in math.CT and math.LO | (1205.2547v1)

Abstract: We investigate the problem of characterizing the classes of Grothendieck toposes whose internal logic satisfies a given assertion in the theory of Heyting algebras, and introduce natural analogues of the double negation and De Morgan topologies on an elementary topos for a wide class of intermediate logics.

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