ON THE I-R0 SPACES AND I-STRONG QUASI-UNIFORM CONVERGENCE

Using ideals, we introduce a new class of topological spaces that are more general concept than R0 spaces (Csaszar, ´ A.: General Topology .A kad- ´ Kiado, Budapest, 1978). Different properties will be studied for that class of topological spaces. We also define a new kind of convergence for sequences of functions and formulate more general results to those contained in (Sochaczewska, A.: The strong quasi-uniform convergence, Math. Montisnigri 15 (2002), 45-55).