On Γ-Paracompact Spaces

Abstract

We introduce the class of Γ-paracompact spaces as a stronger form of paracompactness. A space X is said to be Γ-paracompact (Γ-P, for short) space if every open cover of X has a strongly locally finite (SLF) open refinement. We give some characterizations of Γ-P spaces. We also define some weaker forms of Γ-P spaces as Γσ-paracompact and feebly Γ-P spaces We later introduce Γ-expandable spaces and study the relationships between Γ-expandable and Γ-P spaces. We also investigate some of topological properties of Γ-P spaces. © 2023, Prof. Dr. Mehmet Zeki SARIKAYA. All rights reserved.