$\mathbb{R}$-paracompact

Last-modified: 2011-08-16 (火) 18:31:16

Definition

A topological space X is called imgtex.fcgi?%5bres=100%5d%7b$%5cmathbb%7bR%7d$%7d%25.png -paracompact iff every open cover of cardinality imgtex.fcgi?%5bres=100%5d%7b$%5cle%20%5cmathbb%7bR%7d$%7d%25.png has a locally finite open refinement. It is equivalent to $\Aleph$-paracompactness.

Reference

  • Cao Ji-Ling, Weakly closed multifunctions and paracompactness, Internat. J. Math and Math. Sci. Vol.16, No.2, pp.345-350 (1993).