pairwise T_1 in the sense of Murdeshwar and Naimpally

Definition

• A bitopological sapce (X,τ_1,τ_2) is pairwise T_1 in the sense of Murdeshwar and Naimpally (briefly MN-p-T_1) if for every pair of distinct points x, y of X, there exists a 1- or a 2-neighbourhood of x not containing y.

Property

• MN-p-T_1 implies MN-p-T_0

Reference

• Murdeshwar, M.G.; Naimpally, S.A.,Quasi-uniform topological spaces., (English) [B] Groningen: P. Noordhoff Ltd. 73 p. (1966).