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math.GN2025
Borel 1 type mappings and the respective equi-families
Marek Balcerzak, Ľubica Holá, Olena Karlova +1
We investigate classes of functions from a topological space to a metric space that are related to those of Borel class 1. Following the idea defining an equi-Baire 1 family (due t…
math.GN2024
Point-set games and functions with the hereditary small oscillation property
Marek Balcerzak, Tomasz Natkaniec, Piotr Szuca
Given a metric space , we consider certain families of functions having the hereditary oscillation property HSOP and the hereditary continuous restriction pro…
math.GN2021★ 2 cited
Games characterizing certain families of functions
Marek Balcerzak, Tomasz Natkaniec, Piotr Szuca
We obtain several game characterizations of Baire 1 functions between Polish spaces X, Y which extends the recent result of V. Kiss. Then we propose similar characterizations for e…