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 | |
Publication status | Published - Dec 2022 |
Keywords
- game
- winning strategy
- determinacy
- analytic set
- Baire class 1 function
- Cantor set
- meager set