α-Continuous and α-open mappings

A note on weakly quasi continuous functions

“…A subset A is said to be semiopen [2] (resp. preopen [10], -open [11]) it" ACI(Int(A)) (resp. AInt(Cl()), C Int(Cl(Int()))).…”

On strongly α-I-Open sets and a new mapping

“…By using α-open sets. Mashhour et al [14] defined and studied α-continuity and α-openness in topological spaces. Ideals in topological spaces have been considered since 1930.…”

A Unified theory for $R_0$;$R_1$ and certain other separation properties and their variant forms

“…intcl, clint, intcl δ , intclint, clintcl) then ψ-convergence reduces to the usual convergence (resp. preconvergence [21], semi-convergence [28], δ-pre-convergence [26], α-convergence [11] and β-convergence [29]) of nets. Lemma 2.26.…”