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- W2329285351 abstract "Let 5 be a subset of R d . A point x in 5 is a point of local convexity of S if and only if there is some neighborhood U of x such that, if y, z ϵ 5 ⌒ U, then [y, z] ⊆ S. If S fails to be locally convex at some point q in 5, then q is called a point of local nonconvexity (lnc point) of S. Several interesting properties are known about sets whose lnc points Q may be decomposed into n convex sets. For S closed, connected, S ∼ Q connected, and Q having cardinality n, Guay and Kay [2] have proved that S is expressible as a union of n + 1 or fewer closed convex sets (and their result is valid in a locally convex topological vector space)." @default.
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- W2329285351 date "1975-04-01" @default.
- W2329285351 modified "2023-10-14" @default.
- W2329285351 title "Points of Local Nonconvexity and Finite Unions of Convex Sets" @default.
- W2329285351 doi "https://doi.org/10.4153/cjm-1975-046-6" @default.
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