Geodesic
On some questions connected with the iteration of set-theoretic operations
Sbornik. Mathematics, Tome 34 (1978) no. 6, pp. 813-840 Cet article a éte moissonné depuis la source Math-Net.Ru

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This paper deals with problems connected with iterated and “multiple” set-theoretic operations. Bibliography: 18 titles. 
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I. I. Parovichenko. On some questions connected with the iteration of set-theoretic operations. Sbornik. Mathematics, Tome 34 (1978) no. 6, pp. 813-840. http://geodesic.mathdoc.fr/item/SM_1978_34_6_a6/

[1] I. I. Parovichenko, “K obschei teorii operatsii nad mnozhestvami”, Uspekhi matem. nauk, XXVIII:5(173) (1973), 129–154

[2] A. A. Lyapunov, “Ob operatsiyakh nad mnozhestvami”, Algebra i logika, Seminar, 2, no. 2, 1963, 47–56 | Zbl

[3] F. Hausdorff, “Zur Proektivitat der 6s-Funktionen”, Fundam. Math., 20 (1933), 100–104 | Zbl

[4] Yu. S. Ochan, “O peremestimosti $\delta s$-operatsii”, Matem. sb., 10(52) (1942), 151–164

[5] Yu. S. Ochan, “Teoriya operatsii nad mnozhestvami”, Uspekhi matem. nauk, X:3(65) (1955), 71–128

[6] A. D. Taimanov, “O zhestkikh bazakh $\delta s$-operatsii”, Izv. AN SSSR, seriya matem., 14 (1950), 443–448 | MR | Zbl

[7] M. Sh. Tsalenko i E. G. Shulgeifer, Osnovy teorii kategorii, izd-vo “Nauka”, Moskva, 1974 | MR

[8] J. Schmidt, “Beitrage zur Filtertheorie, 2”, Math. Nachr., 10 (1953), 197–232 | DOI | MR | Zbl

[9] I. I. Parovichenko, “O topologicheskikh ekvivalentakh teoremy Tikhonova”, DAN SSSR, 184:1 (1969), 38–39 | Zbl

[10] R. Engelking, Outline of General Topology, 1968 | MR

[11] Dzh. L. Keli, Obschaya topologiya, izd-vo “Nauka”, Moskva, 1968

[12] I. I. Parovichenko, “O teoretiko-mnozhestvennykh operatsiyakh”, DAN SSSR, 201:1 (1971), 40–43 | Zbl

[13] S. K. Klini, Vvedenie v metamatematiku, IL, Moskva, 1957

[14] A. A. Lyapunov, “Ob operatsiyakh nad mnozhestvami, dopuskayuschikh transfinitnye indeksy”, Trudy Mosk. matem. ob-va, VI (1957), 195–230 | MR

[15] N. Burbaki, Teoriya mnozhestv, izd-vo “Mir”, Moskva, 1965

[16] I. I. Parovichenko, “O perestanovochnosti $\delta s$-operatsii”, DAN SSSR, 222:2 (1975), 284–287 | MR | Zbl

[17] I. I. Parovichenko, “O sravnitelnoi sile teoretiko-mnozhestvennykh operatsii”, Byull. Polsk. akad. nauk, 23:10 (1975), 1037–1041 | MR

[18] F. Khausdorf, Teoriya mnozhestv, Gostekhizdat, Moskva–Leningrad, 1937