The dimension of the convex kernel and points of local nonconvexity
Author:
Nick M. Stavrakas
Journal:
Proc. Amer. Math. Soc. 34 (1972), 222-224
MSC:
Primary 52A20
DOI:
https://doi.org/10.1090/S0002-9939-1972-0298549-0
MathSciNet review:
0298549
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Abstract | References | Similar Articles | Additional Information
Abstract: Let S be a compact connected subset of 
. A necessary and sufficient condition is given to ensure that the dimension of the convex kernel of S is greater than or equal to k, 
. This condition involves a visibility constraint on the points of local nonconvexity of S. As consequences, we obtain new characterizations of the convex kernel of S and the nth-order convex kernel of S.
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sets, Proc. Amer. Math. Soc. 16 (1965), 1305-1310. MR 32 #2976. Retrieve articles in Proceedings of the American Mathematical Society with MSC: 52A20
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1972-0298549-0
Article copyright:
© Copyright 1972
American Mathematical Society
