On superpositions of continuous functions defined on a~Baire space
Matematičeskie zametki, Tome 66 (1999) no. 5, pp. 696-705.

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S. S. Marchenkov. On superpositions of continuous functions defined on a~Baire space. Matematičeskie zametki, Tome 66 (1999) no. 5, pp. 696-705. http://geodesic.mathdoc.fr/item/MZM_1999_66_5_a6/

[1] Yablonskii S. V., “Vvedenie v teoriyu funktsii $k$-znachnoi logiki”, Diskretnaya matematika i matematicheskie voprosy kibernetiki, T. I, Nauka, M., 1974, 9–66

[2] Kolmogorov A. N., “O predstavlenii nepreryvnykh funktsii neskolkikh peremennykh superpozitsiyami nepreryvnykh funktsii menshego chisla peremennykh.”, Dokl. AN SSSR, 108:2 (1956), 179–182 | MR

[3] Arnold V. I., “O funktsiyakh trekh peremennykh”, Dokl. AN SSSR, 114:4 (1957), 679–681 | MR

[4] Kolmogorov A. N., “O predstavlenii nepreryvnykh funktsii neskolkikh peremennykh v vide superpozitsii nepreryvnykh funktsii odnogo peremennogo i slozheniya”, Dokl. AN SSSR, 114:5 (1957), 953–956 | MR

[5] Vitushkin A. G., “K trinadtsatoi probleme Gilberta”, Dokl. AN SSSR, 95:4 (1954), 701–704 | MR | Zbl

[6] Vitushkin A. G., O mnogomernykh variatsiyakh, Gostekhizdat, M., 1955

[7] Kolmogorov A. N., “Otsenki minimalnogo chisla elementov $\varepsilon $-setei v razlichnykh funktsionalnykh klassakh i ikh primenenie k voprosu o predstavimosti funktsii neskolkikh peremennykh superpozitsiyami funktsii menshego chisla peremennykh”, UMN, 10:1(63) (1955), 192–195

[8] Vitushkin A. G., Khenkin G. M., “Lineinye superpozitsii funktsii”, UMN, 22:1 (1967), 77–124 | MR | Zbl

[9] Vitushkin A. G., “On representation of functions by means of superpositions and related topics”, L'Enseignement math., 23:3–4 (1977), 255–320 | MR | Zbl

[10] Marchenkov S. S., “Ob odnom metode analiza superpozitsii nepreryvnykh funktsii”, Problemy kibernetiki, 37 (1980), 5–17 | MR | Zbl

[11] Gashkov S. B., “O slozhnosti priblizhennoi realizatsii funktsionalnykh kompaktov v nekotorykh prostranstvakh i o suschestvovanii funktsii s zadannoi po poryadku slozhnostyu”, Fundamentalnaya i prikladnaya matematika, 2:3 (1996), 675–774 | MR | Zbl

[12] Yablonskii S. V., Vvedenie v diskretnuyu matematiku, Nauka, M., 1986