No upper bound for cardinalities of Tychonoff C.C.C. spaces with a $G_{\delta }$-diagonal exists (an answer to J. Ginsburg and R. G. Woods’ question)

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1. GINSBUBG J., WOODS R. G., A cardinal inequality for topological spaces involving closed discrete sets, - Proc. Amer. Math. Soc., 1977, t. 64, N 2, p. 357-360. (1977) MR0461407
2. APХАНГЕЛЬСКИЙ A. B., Стройенийе и класификация топологицеских пространств и кардинальные инварианты, - Уcпехи Матем. Наук 33, 6 (1978), 29-84. (Arhangel'skii A. V. A structure of spaces, their classification and cardinal invariants - Soviet math. Surveys, 1978, v. 33, N 6, p. 29-84). (1978) MR0526012
3. ENGELKING R., General topology, - Warszawa, PWN, 1977. (1977) Zbl0373.54002MR0500780
4. ЦЕЙТЛИН M. Я., Об одной задаче А. В. Архангельского, B сборнике Топология и теория множеств, Удмуртский госыдарственный университет. Ижевск 1982, с. 8-11 (Zeitlin M. J. On a question of A. V. Arhangel'skii. In: Topology and Theory of sets, University of the Udmurt Republic. Ishevsk, USSR, 1982, p. 8-11). (1982) Zbl1171.03330
5. ШAXMATOB Д. Б., О псевдокомпактныцч пространствах с точечно счотной базой, - Доклады AH CCCP, 1964 [в печати] (Shakhmatov D. B. On pseudocompact spaces with a point-countable base, to appear in Soviet Math. Dokl.). (1964) 
6. CEDER J. G., Some generalisations of metric spaces, - Pacific J. Math., 1961, t. 11, N 1, p. 105-125. (1961) MR0131860
7. HAJNAL A., JUHÁSZ I., Discrete subspaces of topological spaces, - Indag. Math., 1967, v. 29, p. 343-356. (1967) MR0229195
8. TERADA T., Dense subspaces of topological spaces, (to appear in Canadian Math. J.).- Zentralblatt für Mathematik, 1983, B. 507, abstract 54005. (1983) MR0738839
9. USPENSKII V. V., A large $P_{\sigma }$-discrete Fréchet space having the Souslin property, - Comment. Math. Univ. Carolinae 25 (1984), 257-260. (1984) MR0768812

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