Relatively boolean and De Morgan toposes and locales
Anders Kock, Gonzalo E. Reyes (1994)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Displaying similar documents to “On pushing out frames”
Relatively boolean and De Morgan toposes and locales
On the injectivity of Boolean algebras
Bernhard Banaschewski (1993)
Commentationes Mathematicae Universitatis Carolinae
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The functor taking global elements of Boolean algebras in the topos of sheaves on a complete Boolean algebra is shown to preserve and reflect injectivity as well as completeness. This is then used to derive a result of Bell on the Boolean Ultrafilter Theorem in -valued set theory and to prove that (i) the category of complete Boolean algebras and complete homomorphisms has no non-trivial injectives, and (ii) the category of frames has no absolute retracts.
Spaces with Boolean assemblies
H. Simmons (1980)
Colloquium Mathematicae
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Booleanization
B. Banaschewski, A. Pultr (1996)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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