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It is well-known that each completely regular space embeds into a compact Hausdorff space.

Problem. Is it true that each regular space embeds into a countably compact Hausdorff space?


The problem was posed on 31.08.2019 by Serhii Bardyla (sbardyla@yahoo.com) on page 161 of Volume 2 of the Lviv Scottish Book.

Prize: Beer + pizza in ``Cosa Nostra''.

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