Literature cited
N. V. Efimov and S. B. Stechkin, “Certain properties of Chebyshev sets,” Dokl. Akad. Nauk SSSR,118, No. 1, 17–19 (1958).
L. P. Vlasov, “Approximative properties of sets in normed linear spaces,” Usp. Mat. Nauk,28, No. 6, 3–66 (1973).
V. A. Koshcheev, “Connectedness and certain approximative properties of sets in normed linear spaces,” Mat. Zametki,17, No. 2, 193–204 (1975).
V. A. Koshcheev, “Connectedness and solar properties of sets in normed linear spaces,” Mat. Zametki,19, No. 2, 267–278 (1976).
D. Braess, “Geometrical characterizations for nonlinear uniform approximation,” J. Approx. Theory,11, No. 3, 260–274 (1974).
E. V. Oshman, “Chebyshev sets and continuity of metric projection,” Izv. Vyssh. Uchebn. Zaved., Mat.,9, 78–82 (1970).
C. B. Dunham, “Chebyshev sets in C[0, 1] which are not suns,” Can. Math. Bull.,18, No. 1, 35–37 (1975).
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Translated from Matematicheskie Zametki, Vol. 26, No. 1, pp. 89–92, July, 1979.
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Koshcheev, V.A. An example of a disconnected sun in a Banach space. Mathematical Notes of the Academy of Sciences of the USSR 26, 535–537 (1979). https://doi.org/10.1007/BF01140277
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DOI: https://doi.org/10.1007/BF01140277