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I-paracompact (paracompact modulo I)

Last-modified: 2010-12-30 (木) 18:07:11

Definition Edit

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

Reference Edit

  • 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.