Intersections of m-Convex Sets

Breen, Marilyn

Canadian journal of mathematics, Tome 27 (1975) no. 6, pp. 1384-1391

Résumé

Let S be a subset of some linear topological space. The set S is said to be m-convex, m ≧ 2, if and only if for every m-member subset of line segments determined by these points lies in S. A point x in S is called a point of local convexity of S if and only if there is some neighborhood N of x such that if y, z ∈ N⋂ S, then [y, z] ⊆ S. If S fails to be locally convex at some point q in S, then q is called a point of local nonconvexity (lnc point) of S.

Détail

DOI : 10.4153/CJM-1975-141-0

Bibliographie

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