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. 
@article{MZM_2017_101_3_a4,
     author = {A. M. Dulliev},
     title = {Properties of {Connected} {Ortho-convex} {Sets} in the {Plane}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {373--394},
     publisher = {mathdoc},
     volume = {101},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_101_3_a4/}
}
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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/