Embeddings into countably compact Hausdorff spaces

UDC 515.122 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 sca...

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Bibliographic Details
Date:2023
Main Authors: Banakh, Taras, Bardyla, Serhii, Ravsky, Alex
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2023
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2283
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary:UDC 515.122 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 a Urysohn countably compact topological space.
DOI:10.3842/umzh.v75i8.2283