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arXiv · 1806.09015

Classification of spaces of Continuous Function on ordinals

L. V. Genze·S. P. Gul'ko·T. E. Khmyleva
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Abstract

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 $C_p([0,\alpha])$ 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 $C_p([0,\alpha])$ completely coincides with their uniform classification.

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L. V. Genze, S. P. Gul'ko, T. E. Khmyleva. 2018-06-23. Classification of spaces of Continuous Function on ordinals. https://arxiv.org/abs/1806.09015

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