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

TL;DR

This paper investigates the conditions under which the space of continuous functions C(X) is separable when equipped with the open-point and bi-point-open topologies, extending previous work on this topic.

Contribution

It advances the understanding of separability in functional spaces with specific topologies, providing new results in the second part of this series.

Findings

Identifies conditions for separability of C(X) with open-point topology.

Establishes criteria for separability with bi-point-open topology.

Extends previous results to broader classes of spaces.

Abstract

In this paper we continue to study the property of separability of functional space C(X) with the open-point and bi-point-open topologies.