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  • Embedding topological spaces into Hausdorff ▫$\kappa$▫-bounded spaces
    Banakh, Taras, 1968- ; Bardyla, Serhii ; Ravsky, O. V.
    Let ▫$\kappa$▫ be an infinite cardinal. A topological space ▫$X$▫ is ▫$\kappa$▫-bounded if the closure of any subset of cardinality ▫$\le\kappa$▫ in ▫$X$▫ is compact. We discuss the problem of ... embeddability of topological spaces into Hausdorff (Urysohn, regular) ▫$\kappa$▫-bounded spaces, and present a canonical construction of such an embedding. Also we construct a (consistent) example of a sequentially compact separable regular space that cannot be embedded into a Hausdorff ▫$\omega$▫-bounded space.
    Source: Topology and its Applications. - ISSN 0166-8641 (Vol. 288, July 2020, art. 107277 [12 str.])
    Type of material - article, component part ; adult, serious
    Publish date - 2020
    Language - english
    COBISS.SI-ID - 17641731

    Link(s):

    https://doi.org/10.1016/j.topol.2020.107277
    DOI

source: Topology and its Applications. - ISSN 0166-8641 (Vol. 288, July 2020, art. 107277 [12 str.])
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