Displaying similar documents to “Linear-compact congruence topologies in *-lattices”

Distributive lattices have the intersection property

Henri Mühle (2021)

Mathematica Bohemica

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Distributive lattices form an important, well-behaved class of lattices. They are instances of two larger classes of lattices: congruence-uniform and semidistributive lattices. Congruence-uniform lattices allow for a remarkable second order of their elements: the core label order; semidistributive lattices naturally possess an associated flag simplicial complex: the canonical join complex. In this article we present a characterization of finite distributive lattices in terms of the core...

Proximities compatible with a given topology

Terrence E. Dooher, W. J. Thron

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CONTENTSI. Introduction............................................................................................................................................... 5II. Abstract lattices...................................................................................................................................... 7III. Completely regular lattices................................................................................................................. 9IV. Alternate characterizations...