Geodesic
Two Structures Based on Convexities on the 2-Sphere
Matematičeskie zametki, Tome 102 (2017) no. 2, pp. 186-196

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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. 
@article{MZM_2017_102_2_a2,
     author = {A. M. Dulliev},
     title = {Two {Structures} {Based} on {Convexities} on the {2-Sphere}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {186--196},
     publisher = {mathdoc},
     volume = {102},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_102_2_a2/}
}
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A. M. Dulliev. Two Structures Based on Convexities on the 2-Sphere. Matematičeskie zametki, Tome 102 (2017) no. 2, pp. 186-196. http://geodesic.mathdoc.fr/item/MZM_2017_102_2_a2/