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point-star metacompact

Last-modified: 2010-12-30 (木) 21:59:19

Definition Edit

A topological space X is called point-star metacompact provided that, if C is an open cover of X, there is a point-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 Edit

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