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Matematicheskie Zametki, 2017, Volume 102, Issue 2, Pages 186–196
DOI: https://doi.org/10.4213/mzm10619 (Mi mzm10619) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Two Structures Based on Convexities on the 2-Sphere

A. M. Dulliev

Kazan State Technical University
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DOI: https://doi.org/10.4213/mzm10619
Abstract: Two constructions on a space with two convexities, $n$-semiconvexity and $n$-biconvexity, are considered. Features of the sets corresponding to these constructions on the 2-sphere are studied. Their separation properties are considered.
Keywords: abstract convexity, $n$-semiconvexity, $n$-biconvexity, $2$-sphere, separation.
Received: 21.11.2014
Revised: 18.06.2016
English version:
Mathematical Notes, 2017, Volume 102, Issue 2, Pages 156–163
DOI: https://doi.org/10.1134/S0001434617070185
Bibliographic databases:
Document Type: Article
UDC: 514.172
Language: Russian
Citation: A. M. Dulliev, “Two Structures Based on Convexities on the 2-Sphere”, Mat. Zametki, 102:2 (2017), 186–196; Math. Notes, 102:2 (2017), 156–163
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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