Factorizing the $$\mathbf {Top}$$–$$\mathbf {Loc}$$ adjunction through positive topologies

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چکیده

Abstract We characterize the category of Sambin’s positive topologies as result Grothendieck construction applied to a doctrine over Loc locales. then construct an adjunction between and that topological spaces Top , show well-known factors through constructed adjunction.

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ژورنال

عنوان ژورنال: Archive for Mathematical Logic

سال: 2021

ISSN: ['1432-0665', '0933-5846']

DOI: https://doi.org/10.1007/s00153-021-00768-5