序数上连续函数空间的分类
Classification of spaces of Continuous Function on ordinals
摘要：
我们总结了R.哥拉克给出了序数的紧段上所有连续实值函数的空间$C_p([0,α])$的一个完整的拓扑分类，该紧段具有点式收敛拓扑。而且，空间$C_p([0,α])$的这种拓扑分类与它们的一致分类完全一致。
英文摘要：
We conclude the classification of spaces of continuous functions on ordinals carried out by R. Gorak. This gives a complete topological classification of the spaces $C_p([0,α])$ of all continuous real-valued functions on compact segments of ordinals endowed with the topology of pointwise convergence. Moreover, this topological classification of the spaces $C_p([0,α])$ completely coincides with their uniform classification.
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。
