An ordered compact space is a compact topological space X, endowed with a partially ordered relation, whose graph is a closed set of X x X (of. [4]). An important subclass of these spaces is that of Priest/ey spaces, characterized by the following property: for every x, y ~X with x~y there is an inc
β¦ LIBER β¦
Topological representations of distributive hypercontinuous lattices
β Scribed by Xiaoquan Xu; Jinbo Yang
- Publisher
- Coastal and Estuarine Research Federation
- Year
- 2009
- Tongue
- English
- Weight
- 144 KB
- Volume
- 30
- Category
- Article
- ISSN
- 1860-6261
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Schmidt proved that every distributive lattice with n join-irreducible elements can be represented as the congruence lattice of a "small" lattice I,, that is, a lattice L with O(r?) elements. G. Gratzer, I. Rival, and N. Zaguia proved that, for any o < 2, O(n\*) can not be improved to O(rF). In this