Geodesic
Continuity of metric projection onto a Chebyshev subspace of finite codimension in a space of continuous functions
Matematičeskie zametki, Tome 27 (1980) no. 4, pp. 597-606.

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@article{MZM_1980_27_4_a9,
     author = {E. V. Oshman},
     title = {Continuity of metric projection onto a {Chebyshev} subspace of finite codimension in a space of continuous functions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {597--606},
     publisher = {mathdoc},
     volume = {27},
     number = {4},
     year = {1980},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1980_27_4_a9/}
}
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E. V. Oshman. Continuity of metric projection onto a Chebyshev subspace of finite codimension in a space of continuous functions. Matematičeskie zametki, Tome 27 (1980) no. 4, pp. 597-606. http://geodesic.mathdoc.fr/item/MZM_1980_27_4_a9/