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pairwise R_1 in the sense of Reilly

Last-modified: 2010-11-24 (水) 01:58:29

Definition Edit

  • A bitopological space (X,τ_1,τ_2) is pairwise R_1 in the sense of Reilly (briefly R-p-R_1) if for each pair of points x, y of X such that imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20x%5cnotin%5ctau_i%5cmathrm%7bcl%7d%5c%7by%5c%7d%20%5c%5d%7d%25.png there are an i-open set U and a j-open set C such that imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20x%5cin%20U%2c%5c%20y%5cin%20V%20%5cmbox%7b%20and%20%7dU%5ccup%20V=%5cemptyset%20%5c%5d%7d%25.png.

Definition Edit

  • Reilly I, L., On essentially pairwise Hausdorff spaces., Rend. Circ. Mat. Palermo (2) 25 (1976), No. 1-2, 47-52.