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Notes on Exact Meets and Joins |
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| Authors: | Richard N Ball Jorge Picado Aleš Pultr |
| Institution: | 1. Department of Mathematics, University of Denver, Denver, CO, 80112, USA 2. CMUC, Department of Mathematics, University of Coimbra, 3001-501, Coimbra, Portugal 3. Department of Applied Mathematics and ITI, MFF, Charles University, Malostranské nám 24, 75013, Praha 1, Czech Republic |
| Abstract: | 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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