pairwise T_2

Definition

• A bitopological space (X,τ,μ) is pairwise T_2 if for each pair of distinct points x and y of X there is a τ open set U and a μ open set V such that and U and V are disjoint.

Property

• pairwise T_2 implies R-p-T_1

Remark

• pairwise Hausdorffとも云う。

Reference

• Reilly, Ivan L.,On bitopological separation properties.,Nanta Math. 5 (1972), no. 2, 14–25.