Ahu Acikgoz

collaborators

4 papers

math.GN2026

Ideal-Aura Topological Spaces, New Local Functions, and Generalized Open Sets

Ahu Acikgoz, Murad Ozkoc

We combine an ideal topological space $(X, I ¨ , I)$ with a scope function $a : X \to I ¨ $ , $x \in a (x)$ , to form what we call an ideal-aura topological…

math.GN2026

Soft aura topological spaces and rough approximation operators

Ahu Acikgoz

We introduce the concept of a soft aura topological space $(X, I ¨ ~ , a_{E})$ , obtained by equipping a soft topological space $(X, I ¨ ~ , E)$ with a soft scope funct…

math.GN2026

Compactness and Connectedness in Aura Topological Spaces

Ahu Acikgoz

This is the second paper in a series on aura topological spaces $(X, I ¨ , a)$ , where $a : X \to I ¨ $ is a scope function with $x \in a (x)$ . We study c…

math.GN2026

Aura Topological Spaces and Generalized Open Sets with Applications to Rough Sets, Sensor Networks, and Epidemic Modelling

Ahu Acikgoz

We equip a topological space $(X, I ¨ )$ with a function $a : X \to I ¨ $ satisfying the single axiom $x \in a (x)$ . The resulting triple $(X, I ¨ , a)$ , wh…