paracompact with respect to τ

Last-modified: 2010-11-20 (土) 17:57:38

Definition

  • For a bitopological space (X,τ_1,τ_2), the topology τ_i is paracompact with respect to the topology τ_j if each τ_i open cover of X has a τ_i open refinement which is τ_j locally finite.

Reference

  • Raghavan, T.G. and Reilly, I.L., Uniformization of quasi-uniform spaces. (English),[J] Bull. Aust. Math. Soc. 23, 413-422 (1981).