Zhang De‐xue
Abstract
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summary:The purpose of this paper is to study the topological properties of the interval topology on a completely distributive lattice. The main result is that a metrizable completely distributive lattice is an ANR if and only if it contains at most finite completely compact elements.
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summary:The purpose of this paper is to study the topological properties of the interval topology on a completely distributive lattice. The main result is that a metrizable completely distributive lattice is an ANR if and only if it contains at most finite completely compact elements.
Key concepts: Metrization theorem, Distributive property, Distributive lattice, Lattice (music), Mathematics, Congruence lattice problem, Topology (electrical circuits), Pure mathematics