Games characterizing limsup functions and Baire class 1 functions

Márton Elekes; Janos Flesch; Viktor Kiss; Donát Nagy; Márk Poór; Arkadi Predtetchinski

doi:10.1017/jsl.2022.29

Games characterizing limsup functions and Baire class 1 functions

Márton Elekes^*
, Janos Flesch
, Viktor Kiss
, Donát Nagy
, Márk Poór
, Arkadi Predtetchinski

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We consider a real-valued function f defined on the set of infinite branches X of a countably branching pruned tree T. The function f is said to be a limsup function if there is a function such that for each . We study a game characterization of limsup functions, as well as a novel game characterization of functions of Baire class 1.

Original language	English
Pages (from-to)	1459-1473
Number of pages	15
Journal	Journal of Symbolic Logic
Volume	87
Issue number	4
DOIs	https://doi.org/10.1017/jsl.2022.29
Publication status	Published - Dec 2022

Keywords

game
winning strategy
determinacy
analytic set
Baire class 1 function
Cantor set
meager set

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10.1017/jsl.2022.29Licence: CC BY

Cite this

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AU - Predtetchinski, Arkadi

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KW - winning strategy

KW - determinacy

KW - analytic set

KW - Baire class 1 function

KW - Cantor set

KW - meager set

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DO - 10.1017/jsl.2022.29

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Games characterizing limsup functions and Baire class 1 functions

Abstract

Keywords

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