On separability of the functional space with the open-point and bi-point-open topologies

TL;DR

This paper investigates the conditions under which functional spaces equipped with open-point and bi-point-open topologies are separable, contributing to the understanding of topological properties in functional analysis.

Contribution

It provides new insights into the separability of functional spaces with specific topologies, expanding theoretical knowledge in topology and functional analysis.

Findings

Characterization of separability conditions

Comparison between open-point and bi-point-open topologies

Implications for functional analysis

Abstract

In this paper we study the property of separability of functional space with the open-point and bi-point-open topologies.