Abstract
In this note we present some necessary and sufficient conditions for a given completely regular space to have a bicompact extension with the first axiom of countability.
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P. S. Aleksandrov and P. S. Uryson, Memoir on Compact Topological Spaces [in Russian], Moscow (1971).
K. Kuratowski, Topology, Vol. 1 [Russian translation], Moscow (1966).
N. Bourbaki, General Topology. Fundamental Structures [Russian translation], Moscow (1968).
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Translated from Matematicheskie Zametki, Vol. 15, No. 3, pp. 491–499, March, 1974.
In conclusion, the author thanks his advisor V. I. Ponomarev for his interest in this paper.
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Ul'yanov, V.M. Bicompact extensions with the first axiom of countability and continuous mappings. Mathematical Notes of the Academy of Sciences of the USSR 15, 287–291 (1974). https://doi.org/10.1007/BF01438385
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DOI: https://doi.org/10.1007/BF01438385