Original Articles

Ideals in Heyting Semilattices and Open Homomorphisms

Published in: Quaestiones Mathematicae
Volume 30 , issue 4 , 2007 , pages: 391–405

DOI: 10.2989/16073600709486208

Author(s): Jorge Picado , Aleš Pultr , Anna Tozzi

Keywords: HEYTING SEMILATTICE , IDEAL , SUBFITNESS , OPEN AND COMPLETE IDEALS AND HOMOMORPHISMS

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.

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