(i, j)-paracompact

Definition

• A bitopological space (X,τ_1,τ_2) is (i,j)-paracompact if each i-open covering of X has an i-open refinement which is j-locally finite.

Remark

• (τ_i-τ_i) paracompact with respect to τ_jに同じ。

Reference

• Dvalishvili, B. P.,Bitopological spaces: theory, relations with generalized algebraic structures,and applications,North-Holland Mathematics Studies, 199. Elsevier Science B.V., Amsterdam, 2005.