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''.