p-locally finite

Definition

A collection P of subsets of a topological space X is called p-locally finite if for each point x in X, there exists a preopen set W containing x and W intersects at most finitely many members of P.

Reference

• 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.