Notes on Exact Meets and Joins

被引：0
作者：
Richard N. Ball
Jorge Picado
Aleš Pultr
机构：
[1] University of Denver,Department of Mathematics
[2] University of Coimbra,CMUC, Department of Mathematics
[3] Charles University,Department of Applied Mathematics and ITI, MFF
来源：
Applied Categorical Structures | 2014年 / 22卷
关键词：
Frame; Locale; Sublocale; Lattice; Exact meet; Exact join; Free meet; -topological space; Scott topology; -frame; Paracompact frame; 06D22; 18B35; 54D10;
D O I：
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中图分类号：
学科分类号：
摘要：
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.
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页码：699 / 714
页数：15
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