On Soft �1-Paracompactness in Soft Topological Spaces

Abstract

Recently, the author [19] introduced a new class spaces namely, soft nearly paracompact spaces and established some characterizations of these spaces. In the present paper a new class of spaces, namely soft �1-paracompact spaces in soft topological spaces are introduced and several characterizations of such spaces are also investigated. Relationships among soft paracompact, soft �1-paracompact, soft S1-paracompact, soft �-paracompact and soft P1-paracompact are provided with counter examples. Keywords- Soft �-open sets, soft �-regular open sets, soft �-regular space, soft paracompact spaces, soft �1-paracompact spaces, soft locally finite open refinement etc.