pairwise R_0 in the sense of Murdeshwar and Naimpally

Last-modified: 2010-11-23 (火) 15:31:28

Definition

  • A bitopological space (X, τ_1, τ_2) is pairwise R_0 in the sense of Murdeshwar and Naimpally (briefly MN-p-R_0) if for each imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20G%5cin%5ctau_i%2c%5c%20x%5cin%20G%5c%20%5cmbox%7b%20implies%20%7d%5ctau_j%5cmathrm%7bcl%7d%5c%7bx%5c%7d%5csubset%20G%20%5cmbox%7b%20for%20%7di%2cj=1%2c2%2c%5c%20i%5cneq%20j%20%5c%5d%7d%25.png .

Reference

  • Reilly, Ivan L. On essentially pairwise Hausdorff spaces.,(English) [J] Rend. Circ. Mat. Palermo, II. Ser. 25, 47-52 (1976).