Embeddings into countably compact Hausdorff spaces

Taras Banakh; Serhii Bardyla; Alex Ravsky

doi:10.3842/umzh.v75i8.2283

Taras Banakh Ivan Franko National University of Lviv and Jan Kochanowski University in Kielce, Poland)
Serhii Bardyla Institute of Mathematics, P. J. Šafárik University in Košice, Slovakia
Alex Ravsky Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Lviv

DOI: https://doi.org/10.3842/umzh.v75i8.2283

Keywords: HAUSDORFF SPACES

Abstract

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.

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