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strongly τ-pseudocompact

Last-modified: 2010-12-14 (火) 22:10:51

Definition Edit

  • For an infinite cardinal number τ, a Tychonoff space X is said to be strongly τ-pseudocompact provided that for every function imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20f%5cin%20C%28X%2c%5cmathbb%7bR%7d%5e%7b%5ctau%7d%29%20%5c%5d%7d%25.png, f(A) is closed subset of imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5cmathbb%7bR%7d%5e%7b%5ctau%7d%20%5c%5d%7d%25.png for every closed subset A of X.

Remark Edit

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