Geodesic
Convexity and connectedness of Chebyshev sets and suns
Fundamentalʹnaâ i prikladnaâ matematika, Tome 3 (1997) no. 4, pp. 967-978.

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The history of study of Chebyshev sets is described and the review of N. V. Efimov's and S. B. Stechkin's works on Chebyshev sets is given. The special attention is paid to the problems of convexity and connectedness of Chebyshev sets. 
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     author = {M. I. Karlov and I. G. Tsar'kov},
     title = {Convexity and connectedness of {Chebyshev} sets and suns},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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     year = {1997},
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M. I. Karlov; I. G. Tsar'kov. Convexity and connectedness of Chebyshev sets and suns. Fundamentalʹnaâ i prikladnaâ matematika, Tome 3 (1997) no. 4, pp. 967-978. http://geodesic.mathdoc.fr/item/FPM_1997_3_4_a3/