Geodesic
Functionally paraconvex sets
Matematičeskie zametki, Tome 54 (1993) no. 6, pp. 74-81 
P. V. Semenov. Functionally paraconvex sets. Matematičeskie zametki, Tome 54 (1993) no. 6, pp. 74-81. http://geodesic.mathdoc.fr/item/MZM_1993_54_6_a6/
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     title = {Functionally paraconvex sets},
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     volume = {54},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1993_54_6_a6/}
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[1] Michael E., “Continuous selections”, Ann. of Math., 63:2 (1956), 317–345 | DOI | MR

[2] Michael E., “Paraconvex sets”, Math. Scand., 7:2 (1959), 312–315 | MR

[3] Semenov P. V., “Vypuklye secheniya grafikov nepreryvnykh funktsii”, Matem. zametki, 50:5 (1991), 75–80 | MR