Geodesic
New proof of Uspenskij selection theorem
Trudy Instituta matematiki, Tome 30 (2022) no. 1, pp. 30-36.

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We obtain a new proof of the Uspenskij selection theorem for $\mathcal{C}$ -spaces. This result allows us to generalize the Uspenskij theorem to stratified $\mathcal{C}$ -spaces. 
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Dz. N. Kazhamiakin. New proof of Uspenskij selection theorem. Trudy Instituta matematiki, Tome 30 (2022) no. 1, pp. 30-36. http://geodesic.mathdoc.fr/item/TIMB_2022_30_1_a3/

[1] Uspenskij V.V., “A selection theorem for $\mathcal{C}$-spaces”, Topology and its Applications, 85 (1998), 351–374 | DOI | MR | Zbl

[2] Michael E., “Continuous selections. III”, Ann. of Math. (2), 65 (1957), 375–390 | DOI | MR | Zbl

[3] Ageev S.M., “Nepoliedralnoe dokazatelstvo konechnomernoi selektsionnoi teoremy Maikla”, Fundament. i prikl. matem., 11:4 (2005), 3–22

[4] Engelking R., Obschaya topologiya, Mir, M., 1986

[5] Hu S., Theory of Retracts, Wayne State University Press, Detroit, 1965 | MR | Zbl