On γ−countably paracompact sets

Abstract

In this paper we introduce and study a new class of sets, namely γ−countably paracompact sets. We characterize γ−countably paracompact sets and we study some of its basic properties. We obtain that this class of sets is weaker than α−countably paracompact sets and stronger than β−countably paracompact sets.

Keywords

• countably paracompact
• α−countably paracompact
• β−countably paracompact
• γ−countably paracompact
• 54a05
• 54c08
• 54d10