Geodesic
Continuous $\varepsilon$-Selection and Monotone Path-Connected Sets
Matematičeskie zametki, Tome 101 (2017) no. 6, pp. 919-931.

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The sets with continuous selection from near-best approximations and the monotone path-connected sets are studied; several examples of such sets are also considered.
Keywords: continuous selections, monotone path-connected sets. 
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I. G. Tsar'kov. Continuous $\varepsilon$-Selection and Monotone Path-Connected Sets. Matematičeskie zametki, Tome 101 (2017) no. 6, pp. 919-931. http://geodesic.mathdoc.fr/item/MZM_2017_101_6_a11/

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