Geodesic
On~compactifications satisfying the first axiom of countability and absolutes
Sbornik. Mathematics, Tome 27 (1975) no. 2, pp. 199-226

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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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     author = {V. M. Ul'yanov},
     title = {On~compactifications satisfying the first axiom of countability and absolutes},
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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/