Weak form of ideal nano topological spaces for semi-local functions

Abstract

In this paper we introduced ns-OS in a perfect nano topological space N_★^X, we define a nano semi-local function T_n^★(I,N). Several semi-local function characteristics and attributes and the new notions of (SI_αⁿ, SI_sⁿ, SI_pⁿ, SI_bⁿ and SI_βⁿ)-open sets, which are straightforward variations of n-open sets in N_★^X, are introduced and studied in this paper. Additionally, we describe the connections between them and the associated attributes.