Abstract
LetS be a closed subset of a Hausdorff linear topological space,S having no isolated points, and letc s (m) denote the largest integern for whichS is (m,n)-convex. Ifc s (k)=0 andc s (k+1)=1, then
. Moreover, ifT is a minimalm subset ofS, the combinatorial structure ofT is revealed.
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Breen, M. The combinatorial structure of (m, n)-convex sets. Israel J. Math. 15, 367–374 (1973). https://doi.org/10.1007/BF02757075
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DOI: https://doi.org/10.1007/BF02757075