We consider the problem of characterization of topological spaces embedded into countably compact Hausdorff topological spaces. We study the separation axioms for subspaces of Hausdorff countably compact topological spaces and construct an example of a regular separable scattered topological space that cannot be embedded into an Urysohn countably compact topological space.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 75, No. 8, pp. 1032–1042, August, 2023. Ukrainian DOI: https://doi.org/10.37863/umzh.v75i8.2283
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Banakh, T., Bardyla, S. & Ravsky, A. Embeddings Into Countably Compact Hausdorff Spaces. Ukr Math J 75, 1178–1189 (2024). https://doi.org/10.1007/s11253-023-02254-y
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DOI: https://doi.org/10.1007/s11253-023-02254-y