Finite Decompositions for Initial Baire-1 Subclasses and Their Characterization via Homogeneous Sequences

2026/07/19 by Alexey Ostrovsky · 1 voice
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Abstract

We announce some results concerning initial subclasses of the Baire-1 functions. First, we obtain a finite decomposition into continuous maps for a basic initial subclass. Second, we give a pointwise description of initial subclasses via point-homogeneous sequences. Third, we present a finite decomposition of maps into open and closed maps.

Discussions

• Alexey Ostrovsky: Finite Decompositions for Initial Baire-1 Subclasses and Their Characterization via Homogeneous Sequences https://arxiv.org/abs/2607.17364 https://arxiv.org/pdf/2607.17364 https://ar [bsky, 0 points, 0 comments]

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