Decomposing functions of Baire class $2$ on Polish spaces

TL;DR

This paper proves the Decomposability Conjecture for Baire class 2 functions on Polish spaces, advancing understanding in descriptive set theory by confirming a significant open problem.

Contribution

It establishes the Decomposability Conjecture for Baire class 2 functions on Polish spaces, providing a partial solution to a major open problem.

Findings

Confirmed the Decomposability Conjecture for Baire class 2 functions

Extended the understanding of function decomposition in descriptive set theory

Partially resolved an important open problem

Abstract

We prove the Decomposability Conjecture for functions of Baire class $2$ on a Polish space to a separable metrizable space. This partially answer an important open problem in descriptive set theory.