point-star paracompact

Last-modified: 2010-12-30 (木) 21:57:29

Definition

A topological space X is called point-star paracompact provided that, if C is an open cover of X, there is a locally finite open refinement R of imgtex.fcgi?%5bres=100%5d%7b$%5cmathcal%7bC%7d%5e*$%7d%25.png so that, for each x in X, there exists U_x in R so that imgtex.fcgi?%5bres=100%5d%7b$x%5cin%20U_x%5csubset%20%5cmathrm%7bSt%7d%28x%2c%5cmathcal%7bC%7d%29$%7d%25.png . Here imgtex.fcgi?%5bres=100%5d%7b$%5cmathcal%7bC%7d%5e*=%5c%7b%5cmathrm%7bSt%7d%28x%2c%5cmathcal%7bC%7d%29:x%5cin%20X%5c%7d$%7d%25.png .

Reference

  • Hans-Peter Kunzi and Peter Fletcher, Some Questions Related to Almost 2-Fully Normal Spaces, Rocky Mountain J. Math. Vol.15 (Nov. 1985).