POINTS FOR m-CONVEX SETS
نویسنده
چکیده
Let S be closed, m-convex subset of R d S locally a full ddimensional, with Q the corresponding set of Inc points of S If q is an essential inc point of order k then for some neighborhood U of q Q u is expressible as a union of k or fewer (d2)-dimenslonal manifolds, each containing q For S compact, if to every q E Q there corresponds a k > 0 such that q is an essential inc point of order k then Q may be written as a finite union of (d2)-manifolds. For q any inc point of S and N a convex neighborhood of q N bdry S Q That is, Q is nowhere dense in bdry S Moreover, if conv(Q N) c S then Q 0 N is not homeomorphic to a (d l)-dimensional manifold.
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