Algebraic convex geometries revisited

Abstract

Representation of convex geometry as an appropriate join of compatible total orderings of the base set can be achieved, when closure operator of convex geometry is algebraic, or finitary. This bears to the finite case proved by P.H.~Edelman and R.E.~Jamison to the greater extent than was thought earlier.

10 pages, part of the chapter on Convex Geometries for the third volume of G. Gratzer's book

References in corpus (2)

• Ordered direct implicational basis of a finite closure system
• On scattered convex geometries

Cited by in corpus (2)

• On scattered convex geometries
• A class of infinite convex geometries