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Ideals in Heyting Semilattices and Open Homomorphisms
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Jorge Picado Aleš Pultr Anna TozziSubfitness and its relation to openness and completeness is studied in the context of Heyting semilattices. A formally weaker condition (c-subfitness) is shown to be necessary and sufficient for openness and completeness to coincide. For a large class of spatial... -
Some properties of conjunctivity (subfitness) in generalized settings
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: M. Andrew Moshier --- CECAT, Chapman University, USA Jorge Picado --- University of Coimbra, Portugal Aleš Pultr --- Charles University, Czech RepublicThe property of subfitness used in point-free topology (roughly speaking) to replace the slightly stronger T 1-separation, appeared (as disjunctivity) already in the pioneering Wallman’s [16], then practically disappeared to reappear again (conjunctivity, subfitness), until it was in the recent...
