Fell连续选择与拓扑良序空间II
Fell-continuous selections and topologically well-orderable spaces II
摘要：
本文改进了V.Gutev和T. Nogura（1999）证明了空间$X$是拓扑良序的当且仅当存在对$\mathcal{F}_2(X)$的选择，该选择相对于$\mathcal{F}_2(X)$上的Fell拓扑是连续的。特别地，这意味着当且仅当$\mathcal{F}_2(X)$具有Fell连续选择时，$\mathcal{F}(X)$具有Fell连续选择。
英文摘要：
The present paper improves a result of V. Gutev and T. Nogura (1999) showing that a space $X$ is topologically well-orderable if and only if there exists a selection for $\mathcal{F}_2(X)$ which is continuous with respect to the Fell topology on $\mathcal{F}_2(X)$. In particular, this implies that $\mathcal{F}(X)$ has a Fell-continuous selection if and only if $\mathcal{F}_2(X)$ has a Fell-continuous selection.
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。
