# On the different kinds of separability of the space of Borel functions

## TL;DR

This paper investigates various strong forms of separability in the space of Borel functions on real sets, analyzing their properties and implications.

## Contribution

It introduces and studies new separability properties in Borel function spaces, extending understanding beyond traditional separability.

## Key findings

- Identifies stronger separability conditions in B(X)
- Analyzes implications of these properties for function space topology
- Provides new insights into the structure of Borel function spaces

## Abstract

In this paper we consider some properties of a space B(X) of Borel functions on a set of reals X, with pointwise topology, that are stronger than separability.