On compactifications satisfying the first axiom of countability and absolutes
Sbornik. Mathematics, Tome 27 (1975) no. 2, pp. 199-226 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the first section of the article a basic construction to be used later is described, and some of its properties are studied. In the second section a basic property of mappings obtained with the help of the basic construction is defined and a number of results about the compactification of mappings with this property are proved; moreover, the construction is here applied to construct compactifications satisfying the first axiom of countability and absolutes. The third section is devoted to a survey of the basic results in the theory of compactifications satisfying the first axiom of countability. In the fourth section are given examples of Cech-complete separable Lindelöf spaces satisfying the first axiom of countability, which do not have compactifications of countable tightness. Figures: 1. Bibliography: 19 titles.
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V. M. Ul'yanov. On compactifications satisfying the first axiom of countability and absolutes. Sbornik. Mathematics, Tome 27 (1975) no. 2, pp. 199-226. http://geodesic.mathdoc.fr/item/SM_1975_27_2_a3/

[1] P. S. Aleksandrov, B. A. Pasynkov, Vvedenie v teoriyu razmernosti, izd-vo «Nauka», Moskva, 1973 | MR

[2] P. S. Aleksandrov, V. I. Ponomarev, “O bikompaktnykh rasshireniyakh topologicheskikh prostranstv”, DAN SSSR, 121:4 (1958), 575–578 | MR

[3] A. V. Arkhangelskii, “O moschnosti bikompaktov s pervoi aksiomoi schetnosti”, DAN SSSR, 187:5 (1969), 967–970

[4] A. V. Arkhangelskii, “O sovershennykh otobrazheniyakh i uplotneniyakh”, DAN SSSR, 176:5 (1967), 983–986

[5] A. V. Arkhangelskii, V. I. Ponomarev, “O diadicheskikh bikompaktakh”, DAN SSSR, 182:5 (1969), 993–996

[6] N. Burbaki, Obschaya topologiya. Osnovnye struktury, izd-vo «Mir», Moskva, 1968 | MR

[7] S. Iliadis, “Absolyuty khausdorfovykh prostranstv”, DAN SSSR, 149:1 (1963), 22–25 | MR | Zbl

[8] K. Kuratovskii, Topologiya, t. 1, izd-vo «Mir», Moskva, 1966 | MR

[9] B. A. Pasynkov, “Chastichnye topologicheskie proizvedeniya”, Trudy Mosk. matem. ob-va, XIII (1965), 136–245 | MR

[10] V. I. Ponomarev, “Ob absolyute topologicheskogo prostranstva”, DAN SSSR, 149:1 (1963), 26–29 | MR | Zbl

[11] V. I. Ponomarev, “O problematike v teorii topologicheskikh prostranstv”, III Tiraspolskii simpozium po obschei topologii i ee prilozheniyam, Kishinev, 1973, 100–102

[12] V. I. Ponomarev, “O prostranstvakh, soabsolyutnykh s metricheskimi”, Uspekhi matem. nauk, XXI:4 (130) (1966), 101–132 | MR

[13] V. I. Ponomarev, “O prostranstvakh, udovletvoryayuschikh aksiomam schetnosti”, Vestnik Mosk. un-ta, seriya 1, matem., mekhanika, 1962, no. 4, 44–50 | MR | Zbl

[14] V. M. Ulyanov, “Bikompaktnye rasshireniya s pervoi aksiomoi schetnosti”, III Tiraspolskii simpozium po obschei topologii i ee prilozheniyam, Kishinev, 1973, 115

[15] V. M. Ulyanov, “Bikompaktnye rasshireniya s pervoi aksiomoi schetnosti i nepreryvnye otobrazheniya”, Matem. zametki, 15:3 (1974), 491–499

[16] V. M. Ulyanov, “Bikompaktnye rasshireniya s pervoi aksiomoi schetnosti, ne povyshayuschie vesa i razmernosti”, DAN SSSR, 217:6 (1974), 1263–1265

[17] V. M. Ulyanov, “O bikompaktnykh rasshireniyakh s pervoi aksiomoi schetnosti”, Vestnik Mosk. un-ta, matem., mekhanika, 1973, no. 2, 13–18

[18] V. Fedorchuk, “O bikompaktakh s nesovpadayuschimi razmernostyami”, DAN SSSR, 182:2 (1968), 275–277 | Zbl

[19] V. V. Filippov, “O sovershenno normalnykh bikompaktakh”, DAN SSSR, 189:4 (1969), 736–738 | MR