Geodesic
Properties of Connected Ortho-convex Sets in the Plane
Matematičeskie zametki, Tome 101 (2017) no. 3, pp. 373-394.

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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.
Keywords: ortho-convex set, ortho-half-space, ortho-hyperplane, ortho-separation. 
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A. M. Dulliev. Properties of Connected Ortho-convex Sets in the Plane. Matematičeskie zametki, Tome 101 (2017) no. 3, pp. 373-394. http://geodesic.mathdoc.fr/item/MZM_2017_101_3_a4/

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