locally countably compact with respect to τ

Definition

• For a bitopological space (X,τ_1,τ_2), the topology τ_i is locally countably compact with respect to the topology τ_j if each each point of X has τ_j neighbourhood which is τ_i countably compact.

Reference

• Raghavan, T.G. and Reilly, I.L., Uniformization of quasi-uniform spaces. (English),[J] Bull. Aust. Math. Soc. 23, 413-422 (1981).