This article is cited in 1 paper

Two Structures Based on Convexities on the 2-Sphere

A. M. Dulliev

Kazan State Technical University

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.

UDC: 514.172

Received: 21.11.2014
Revised: 18.06.2016

DOI: 10.4213/mzm10619

 English version: Mathematical Notes, 2017, 102:2, 156–163

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