*Definition [#uf9255b4]
A topological space is called &ref(http://www.eaflux.com/imgtex/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 [#zab8aa01]
-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.