Topics In Rings of Baire one functions and some function rings

TL;DR

This paper explores the relationships between extended Baire one functions and other function rings on topological spaces, providing insights into their structure and properties.

Contribution

It introduces new relations between extended Baire one functions and various function rings, advancing understanding of their algebraic and topological interactions.

Findings

Established connections between extended Baire one functions and other function rings.

Identified structural properties of these function rings in topological spaces.

Provided new characterizations of Baire one function extensions.

Abstract

Recently some Mathematician extend the notion of Baire one functions. We give some nice relations between this subring and some nice functions rings on a topological spaces.