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Complete extensions of topological spaces

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Abstract

We consider complete extensions of locally connected and peripherally bicompact spaces. We formulate a necessary and sufficient condition for a one-point bicompactification of a locally bicompact space to be a unique bicompactification with zero-dimensional growth.

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Literature cited

  1. E. G. Sklyarenko, “Some problems of the theory of bicompact extensions,” Izv. Akad. Nauk SSSR, Ser. Matem.,26, No. 3, 427–452 (1962).

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    A. I. Krivoruchko

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  1. A. I. Krivoruchko
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Translated from Matematicheskie Zametki, Vol. 15, No. 3, pp. 509–513, March, 1974.

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Krivoruchko, A.I. Complete extensions of topological spaces. Mathematical Notes of the Academy of Sciences of the USSR 15, 296–298 (1974). https://doi.org/10.1007/BF01438387

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  • DOI: https://doi.org/10.1007/BF01438387

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