On Baire-one mappings with zero-dimensional domains

TL;DR

This paper extends the Lebesgue-Hausdorff Theorem to a broader class of functions called Baire-one mappings on strongly zero-dimensional spaces, enhancing understanding of their classification.

Contribution

It introduces a generalization of the Lebesgue-Hausdorff Theorem for Baire-one mappings on strongly zero-dimensional spaces, broadening the scope of classical results.

Findings

Generalization of Lebesgue-Hausdorff Theorem achieved

Characterization of Baire-one mappings on strongly zero-dimensional spaces

Enhanced understanding of function classification in topology

Abstract

We generalize the Lebesgue-Hausdorff Theorem on Baire classification of mappings defined on strongly zero-dimensional spaces