Games characterizing certain families of functions

Archive for Mathematical Logic:1-14 (forthcoming)
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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.

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References found in this work

More on Wadge determinacy.Alessandro Andretta - 2006 - Annals of Pure and Applied Logic 144 (1-3):2-32.
Playing in the first Baire class.Raphaël Carroy - 2014 - Mathematical Logic Quarterly 60 (1-2):118-132.

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