Idealization of a decomposition theorem

Acta Mathematica Hungarica · Ocak 2004

Makale Bilgileri

DergiActa Mathematica Hungarica

Yayın TarihiOcak 2004

Cilt / Sayfa102 · 269-278

DOI10.1023/B:AMHU.0000024677.08811.6a

Scopus ID2-s2.0-4043159182

Özet In 1986, Tong [13] proved that a function f : (X, τ) → (Y, φ) is continuous if and only if it is α-continuous and A-continuous. We extend this decomposition of continuity in terms of ideals. First, we introduce the notions of regular-I-closed sets, A1-sets and A 1-continuous functions in ideal topological spaces and investigate their properties. Then, we show that a function f : (X, τ, I) → (Y, φ) is continuous if and only if it is α-I-continuous and A 1-continuous.