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Matematicheskie Zametki, 2017, Volume 101, Issue 3, Pages 373–394
DOI: https://doi.org/10.4213/mzm10379 (Mi mzm10379) 		 
Properties of Connected Ortho-convex Sets in the Plane

A. M. Dulliev

Kazan National Research Technical University named after A. N. Tupolev
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DOI: https://doi.org/10.4213/mzm10379
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.
Keywords: ortho-convex set, ortho-half-space, ortho-hyperplane, ortho-separation.
Received: 06.04.2015
English version:
Mathematical Notes, 2017, Volume 101, Issue 3, Pages 443–459
DOI: https://doi.org/10.1134/S0001434617030063
Bibliographic databases:
Document Type: Article
UDC: 514
Language: Russian
Citation: A. M. Dulliev, “Properties of Connected Ortho-convex Sets in the Plane”, Mat. Zametki, 101:3 (2017), 373–394; Math. Notes, 101:3 (2017), 443–459
Citation in format AMSBIB
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