Ḡα-CLOSED SETS IN TERMS OF GRILLS

Abstract

In this paper we introduce the new notions of ḡα (θ)-convergence and ḡα (θ)-adherence of a grill in a topological space. We prove necessary and sufficient conditions for a grill to be ḡα (θ)-adherent to a point, respectively ḡα (θ)-convergent to a point, then we provide a characterization of relative ḡα (θ)-closedness of a set in terms of grills.

Cuvinte cheie

Grill ḡα (θ)-convergence and ḡα (θ)-adherence of a grill ḡα (θ)-closed spac