一个刻画Baire类1函数的博弈
A game characterizing Baire class 1 functions
摘要：
杜帕克介绍了一个两人游戏的功能$f$之间的零维波兰空间，其中玩家II有一个获胜的战略，当且仅当$f$是贝尔类1。我们推广这一结果，通过定义一个游戏的任意函数$f : X \to Y$之间的任意波兰空间，使玩家II有一个获胜的策略在这个游戏中当$f$是Baire类1。利用参与人II的策略，重新证明了关于第一返回可恢复函数的一个结果。
英文摘要：
Duparc introduced a two-player game for a function $f$ between zero-dimensional Polish spaces in which Player II has a winning strategy iff $f$ is of Baire class 1. We generalize this result by defining a game for an arbitrary function $f : X \to Y$ between arbitrary Polish spaces such that Player II has a winning strategy in this game iff $f$ is of Baire class 1. Using the strategy of Player II, we reprove a result concerning first return recoverable functions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
