Variations of selective separability and tightness in function spaces with set open topologies

TL;DR

This paper investigates how tightness and selective separability properties vary in function spaces equipped with set-open topologies, providing insights into their topological structure and behavior.

Contribution

It introduces new variations of selective separability and tightness in the context of function spaces with set-open topologies, expanding understanding of their topological properties.

Findings

Characterization of tightness in set-open topologies

Identification of selective separability variations

Comparison of properties across different function space topologies

Abstract

We study tightness properties and selective versions of separability in bitopological function spaces endowed with set-open topologies.