Abstract
Mutual dimensional properties of basis-equivalent (b-equivalent) and weakly l-equivalent topological spaces are studied. It is shown that the b-equivalence does not preserve bicompactness; in particular, b-equivalent topological spaces can be non-l-equivalent. Bibliography: 18 titles.
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Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 231, 1995, pp. 76–87.
Translated by O. A. Ivanov.
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Burova, T.V. Topological characteristics of free bases of topological groups and topological vector spaces. J Math Sci 91, 3380–3386 (1998). https://doi.org/10.1007/BF02434915
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DOI: https://doi.org/10.1007/BF02434915