Abstract
Topological properties of connected ortho-convex sets in the plane, i.e., connected sets convex along the horizontal and vertical lines are studied. Several geometric statements concerning the ortho-separation of ortho-convex sets are proved.
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Original Russian Text © A. M. Dulliev, 2017, published in Matematicheskie Zametki, 2017, Vol. 101, No. 3, pp. 373–394.
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Dulliev, A.M. Properties of connected ortho-convex sets in the plane. Math Notes 101, 443–459 (2017). https://doi.org/10.1134/S0001434617030063
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DOI: https://doi.org/10.1134/S0001434617030063