论文标题
拓平effros定理
A topometric Effros theorem
论文作者
论文摘要
如果在X $中,鉴于波兰组$ g $的连续且等距动作在足够的波兰拓扑空间$(x,τ,ρ)$(x,τ,ρ)$(x,τ,ρ)$(x,τ,ρ)$和$ x \中,我们为$ \ overline {gx}^ρ$ co-meagre找到了必要且充分的条件;我们还获得了一个标准,该标准是在存在这种点时的特征。 这项工作完成了作者早期工作中建立的标准。
Given a continuous and isometric action of a Polish group $G$ on an adequate Polish topometric space $(X,τ,ρ)$ and $x \in X$, we find a necessary and sufficient condition for $\overline{Gx}^ρ$ to be co-meagre; we also obtain a criterion that characterizes when such a point exists. This work completes a criterion established in earlier work of the authors.