On θ-C-open sets

Abstract

The properties of the collection of complements of θ-closures of sets in a topological space are investigated in this paper. A strong continuity condition is defined in terms of these sets. Some applications to H-closed spaces and Katetov spaces are given.

Keywords

• θ-C-open
• θ-C-continuous
• super-continuous
• H-closed space
• Katetov space.