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An n + 1 Member Decomposition for Sets Whose Lnc Points Form n Convex Sets

Published online by Cambridge University Press:  20 November 2018

Marilyn Breen
Marilyn Breen*
Affiliation:
The University of Oklahoma, Norman, Oklahoma
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Let S be a subset of Rd. A point x in 5 is a point of local convexity of S if and only if there is some neighborhood N of x such that, if y, z ∈ N ᑎ 5, 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.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 6 , 01 December 1975 , pp. 1378 - 1383
Copyright
Copyright © Canadian Mathematical Society 1975

References

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