Binary Convexities and Distributive Lattices

DOI10.1112/plms/s3-48.1.1zbMath0505.06005OpenAlexW2150862113MaRDI QIDQ4740611

Marcel van de Vel

Publication date: 1984

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-48.1.1

zbMATH Keywords

Lawson topologycompletely distributive latticesinterval topologybinary convexityconvexity preserving functionsHelly number twoorder-convex subsemilatticescomplete continuous semilatticeHahn-Banach type separationhausdorffness of the intrinsic topologyweak finite topology on real vector space

Mathematics Subject Classification ID

Complete distributivity (06D10) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Axiomatic and generalized convexity (52A01) Quotient spaces, decompositions in general topology (54B15) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Topological lattices (06B30)

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