On Micro-α-Open Sets and Micro-α- Continuous Functions in Micro Topological Spaces

Abstract

The principle point ofithis paper is to present new type of topologicalispaces are introduced by nano topology and so on Nano topology introduced by Thivagar using this nano topology we introduced micro topology and also introduce new type of open sets namely of Micro-α-open sets furthermore, a portion of their properties are researched. As application to Micro-α-open sets we introduce Micro-α-continuous functions also, get a portion of their essential properties

On Micro Pre-Neighborhoods in Micro Topological Spaces

“…In 2020, Hariwan Z. Ibrahim (3) , introduced Micro 𝛽-open sets in Micro topological spaces. In 2020, Reem O. Rasheed and Taha H. Jasim (4) introduced the concept of micro 𝛼-open sets and micro 𝛼-continuous function. In 2018, Sathishmohan P, et al, (5) introduced nano prelimit points.…”