(i, j)-semi regular
Last-modified: 2010-11-24 (水) 13:59:46
Definition
- A bitopological space (X,τ_1,τ_2) is (i, j)-semiregular if for each point x of X and each i-open set
, there exists an i-open set V such that
Property
- A bitopological space (X,τ,μ) is (i, j)-regular? if and only if it is (i, j)-semiregular and (i, j)-almost regular?.
Reference
- Singal, Asha Rani, Remarks on separation axioms. (English) [A] General Topology Relations modern Analysis Algebra, Proc. Kanpur topol. Conf. 1968, 265-296 (1971).