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Ideals in Heyting semilattices and open homomorphisms


Jorge Picado
Aleš Pultr
Anna Tozzi

Abstract

Subfitness 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 frames, c-subfit ≡ subfit.

Quaestiones Mathematicae 30(2007), 391–405

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606