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Notes on Exact Meets and Joins

Publikace na Matematicko-fyzikální fakulta |
2014

Tento text není v aktuálním jazyce dostupný. Zobrazuje se verze "en".Abstrakt

An exact meet in a lattice is a special type of infimum characterized by, inter alia, distributing over finite joins. In frames, the requirement that a meet is preserved by all frame homomorphisms makes for a slightly stronger property.

In this paper these concepts are studied systematically, starting with general lattices and proceeding through general frames to spatial ones, and finally to an important phenomenon in Scott topologies.