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math.GN2026
Sequence spaces of Baire-one functions and their porosity
Marek Balcerzak, Gertruda Ivanova
We consider several families of sequences of Baire-one self-maps of investigated by A. Alikhani-Koopaei. They form a chain of inclusions where each space is closed and nowh…
math.GN2026
Linear relations modulo meager sets
Marek Balcerzak, Paolo Leonetti
We prove several topological zero-one laws. First, we show that, if a subset of a Banach space has the Baire property, then admits a somewhere dense set of vectors $x \…
nlin.CD2026
Astrocytes: Arnol'd Tongues Generalization in Dynamical Systems' Parameter Plane
Gonzalo Marcelo Ramírez-Ávila, S. Leo Kingston, Marek Balcerzak +3
We discovered generalized structures, named astrocytes due to their shape, that constitute a defined region characterizing regular behavior within the parameter plane (PP) of dynam…