countably I-compact (countably compact modulo I)

Last-modified: 2010-12-30 (木) 18:03:04

Definition

Let X be a topological space, I an ideal on X.
X is called countably I-compact or countably compact modulo I if every countable open cover U of X contains a finite subcollection F such that imgtex.fcgi?%5bres=100%5d%7b$X%5csetminus%20%5ccup%5cmathcal%7bF%7d%5cin%20%5cmathcal%7bI%7d$%7d%25.png .

Reference

  • T. R. Hamlett and Dragan Jankovic, On Weaker Forms of Paracompactness, Countable Compactness, and Lindelöfness, Annals of the New York Academy of Sciences Volume 728, General Topology and Applications pages 41–49, November 1994.