Marilyn Breen, "LNC points for -convex sets", International Journal of Mathematics and Mathematical Sciences, vol. 4, Article ID 405215, 16 pages, 1981. https://doi.org/10.1155/S0161171281000379
LNC points for -convex sets
Let be closed, -convex subset of , locally a full -dimensional, with the corresponding set of lnc points of . If is an essential lnc point of order then for some neighborhood of , is expressible as a union of or fewer -dimensional manifolds, each containing For compact, if to every there corresponds a such that is an essential lnc point of order then may be written as a finite union of -manifolds.For any lnc point of and a convex neighborhood of , That is, is nowhere dense in . Moreover, if then is not homeomorphic to a -dimensional manifold.
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