Ideal equal Baire classes

TL;DR

This paper characterizes the ideal equal Baire systems generated by continuous and quasi-continuous functions for any Borel ideal, focusing on limits of sequences within these classes.

Contribution

It provides a comprehensive characterization of ideal equal Baire classes derived from continuous and quasi-continuous functions for arbitrary Borel ideals.

Findings

Characterization of ideal equal Baire systems for Borel ideals

Identification of limits of sequences of continuous and quasi-continuous functions

Extension of Baire class theory to ideal-based frameworks

Abstract

For any Borel ideal we characterize ideal equal Baire system generated by the families of continuous and quasi-continuous functions, i.e., the families of ideal equal limits of sequences of continuous and quasi-continuous functions.