P_1-paracompact

Last-modified: 2010-08-26 (木) 02:36:27

Definition

A topological space is called imgtex.fcgi?%5bres=100%5d%7b$P_1$%7d%25.png -paracompact if every preopen cover of X has a locally finite open refinement.

Reference

  • A. S. Mashhour, M. E. Abd El-Monsef, and I. A. Hasanein, On pretopological spaces, Bulletin
    Mathematique de la Societe des Sciences Mathematiques de la Republique Socialiste de Roumanie, vol. 28(76), no. 1, pp. 39?45, 1984.
  • Khalid Al-Zoubi and Samer Al-Ghour, On P_3-Paracompact Spaces, International Journal of Mathematics and Mathematical Sciences Volume 2007, Article ID 80697, 12 pages.