Continuity of Convexity Preserving Functions

DOI10.1112/jlms/s2-30.3.521zbMath0522.54010OpenAlexW2159540809MaRDI QIDQ3672679

Marcel van de Vel

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1112/jlms/s2-30.3.521

zbMATH Keywords

infinite dimensional casetopological latticestopological treesfinite dimensional casebinary convex structurecompletely distributive intervalsnormal binary, connected spacespreservation of connectednesssurjective, convexity preserving function

Mathematics Subject Classification ID

Continuous maps (54C05) Complete distributivity (06D10) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Axiomatic and generalized convexity (52A01) Topological lattices, etc. (topological aspects) (54H12) Topological lattices (06B30)

This page was built for publication: Continuity of Convexity Preserving Functions