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math.GN2026
H-covering Maps in Descriptive Function Theory
Alexey Ostrovsky
We study the preservation of complete metrizability under maps between metric spaces. Two main approaches have been developed in this area: one based on the behavior of maps on cou…
math.GN2026
Finite Decompositions for Initial Baire-1 Subclasses and Their Characterization via Homogeneous Sequences
Alexey Ostrovsky
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,…