论文标题
由对角线的半邻居定义的baire空间类别
Classes of Baire spaces defined by semi-neighborhoods of the diagonal
论文作者
论文摘要
借助对角线的半个临界，定义了Baire的类别：$δ$，$Δ_H$和$Δ_S$ baire Space。在拓扑游戏的帮助下，研究了这些类别的空间。它们可用于研究组的连续性：副学$δ$ -BAIRE组，准topological $Δ_H$ -BAIRE组和半知识论$Δ_S$ -BAIRE组是拓扑组。
With the help of semi-neighborhoods of the diagonal, classes of Baire spaces are defined: $Δ$, $Δ_h$ and $Δ_s$ Baire spaces. These classes of spaces are studied with the help of topological games. They are useful in studying continuity in groups: paratopological $Δ$-Baire groups, quasi-topological $Δ_h$-Baire groups, and semitopological $Δ_s$-Baire groups are topological groups.
