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Mat. Zametki, 2017, Volume 101, Issue 3, Pages 373–394 (Mi mz10379)  

Properties of Connected Ortho-convex Sets in the Plane

A. M. Dulliev

Kazan National Research Technical University named after A. N. Tupolev

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.

DOI: https://doi.org/10.4213/mzm10379

Full text: PDF file (528 kB)
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English version:
Mathematical Notes, 2017, 101:3, 443–459

Bibliographic databases:

UDC: 514
Received: 06.04.2015

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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