A Few Properties of δ-Continuity and δ-Closure on Delta Weak Topological Spaces

2023/08/12 by Sanϳay Roy, Roy, Sanjay
Decision Sciences · #46A03 #58K15 #FOS: Mathematics #Fuzzy and Soft Set Theory #General Topology (math.GN)

paper · pdf · doi:10.48550/arxiv.2309.00631

openalex publication_date 2023/08/12 · openalex created_date 2023/09/07 · openalex updated_date 2026/07/28

Abstract

The main aim of this paper is to define a weakest topology σ on a linear topological space (E, τ) such that each δ-continuous functional on (E, τ) is δ-continuous functional on (E, σ) and to find out the relation between the set of these δ-continuous functionals on (E, τ) and the set of all δ-continuous functionals on (E, σ). Also we find out the closure of a subset A of E on that weakest topology by the δ-closure of A with respect to the given topology.

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