Topological properties and separability of directional convex sets

Topological properties and separability of directional convex sets

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Article ID: iaor2007389
Country: Belarus
Volume: 1
Start Page Number: 48
End Page Number: 52
Publication Date: Mar 2006
Journal: Mathematical Sciences
Authors:
Abstract:

A generalized convexity (OC-convexity) consisting of the intersections of conic semispaces of directional convexity is investigated. Topological properties of OC-convexity are established. Halfspaces of OC-convexity are described, and conditions on separability of OC-convex sets are shown.

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