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Antimatroids of finite character. (English) Zbl 0990.52001

This paper provides an axiomatization of antimatroids (“convex geometries”; see P. H. Edelmann and R. E. Jamison, [Geom. Dedicata 19, 247-270 (1985; Zbl 0577.52001)]) that also works for the moderately infinite case of “finite character”, where any union of a chain of closed sets is again closed.

MSC:

52A01 Axiomatic and generalized convexity
05B35 Combinatorial aspects of matroids and geometric lattices
06A15 Galois correspondences, closure operators (in relation to ordered sets)

Citations:

Zbl 0577.52001
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