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e-countably compact

Last-modified: 2010-07-23 (金) 21:50:20

Definition Edit

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 Edit

Klaas Pieter Hart, Jun-iti Nagata and Jerry E. Vaughan, Encyclopedia of general topology, Elsevier Science Publishers, B.V., Amsterdam, 2004.