pairwise Hausdorff

Last-modified: 2010-11-20 (土) 20:11:01

Definition

  • A bitopological space (X, τ, μ) is said to be pairwise Hausdorff if , for each two distinct points x and y, there are a τ-neighbourhood U of x and a μ-neighbourhood V of y such that U ∩ V = imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5cemptyset%20%5c%5d%7d%25.png .

Reference

  • Kelly, J. C.,Bitopological spaces.,Proc. London Math. Soc. (3) 13 1963 71–89.