An introduction to completely distributive lattices
Wei Yao · Basic Sciences Journal of Textile Universities · 2013
An introduction to completely distributive lattices is presented via the aspects of their algebraic structures,order structure and the relations with Domain theory.The contents could be used by beginners in related fields.The contents related to completely distributive lattices from several monographs on lattice theory,Domain theory and fuzzy to pology theory are summarized.Completely distributive lattices can be equivalently characterized by means of distributivity,minimal sets(maximal sets),wedge below relation,the set of molecules with its Scott topology.A completely distributive is a mathematical structure combining algebraic structure,order structure and topology structure together.