*Definition [#f811d61d]
A topological space X is e-countably compact if and only if there is a dense subset D such that every countable filter base on D has an adherent point in X.

*Reference [#g9bf392c]
Klaas Pieter Hart, Jun-iti Nagata and Jerry E. Vaughan, ''Encyclopedia of general topology'', Elsevier Science Publishers, B.V., Amsterdam, 2004.