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Games characterizing certain families of functions
Archive for Mathematical Logic 63 (7):759-772 (2024)
Abstract
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 equi-Bare 1 families of functions. Also, using related ideas, we give game characterizations of Baire measurable and Lebesgue measurable functions.Other Versions
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References found in this work
Wadge hierarchy and veblen hierarchy part I: Borel sets of finite rank.J. Duparc - 2001 - Journal of Symbolic Logic 66 (1):56-86.
More on Wadge determinacy.Alessandro Andretta - 2006 - Annals of Pure and Applied Logic 144 (1-3):2-32.
Games for Functions: Baire Classes, Weihrauch Degrees, Transfinite Computations, and Ranks.Hugo Nobrega - 2019 - Bulletin of Symbolic Logic 25 (4):451-452.
Games Characterizing Limsup Functions and Baire Class 1 Functions.Márton Elekes, János Flesch, Viktor Kiss, Donát Nagy, Márk Poór & Arkadi Predtetchinski - 2022 - Journal of Symbolic Logic 87 (4):1459-1473.
Playing in the first Baire class.Raphaël Carroy - 2014 - Mathematical Logic Quarterly 60 (1-2):118-132.
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