论文标题
使用最小USCO地图的选择游戏
Selection Games with Minimal Usco Maps
论文作者
论文摘要
我们在涉及各种拓扑结构的最小USCO地图的各种拓扑选择游戏之间建立了关系，包括Pointwise Converence的拓扑结构和在紧凑型集合上的统一收敛拓扑，以及使用全信息和有限信息策略的基础域。我们还将这些关系与与连续函数空间有关的类似结果将。我们考虑的主要游戏包括类似Rothberger的游戏，广泛的积分游戏，强大的粉丝紧密游戏，Tkachuk的封闭式选择游戏以及Gruenhage的$ W $游戏。
We establish relationships between various topological selection games involving the space of minimal usco maps with various topologies, including the topology of pointwise convergence and the topology of uniform convergence on compact sets, and the underlying domain using full- and limited-information strategies. We also tie these relationships to analogous results related to spaces of continuous functions. The primary games we consider include Rothberger-like games, generalized point-open games, strong fan-tightness games, Tkachuk's closed discrete selection game, and Gruenhage's $W$-games.
