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Classification of spaces of continuous functions on ordinals. (English) Zbl 1474.54063
Summary: We conclude the classification of spaces of continuous functions on ordinals carried out by R. Górak [Commentat. Math. Univ. Carol. 46, No. 1, 93–103 (2005; Zbl 1121.54031)]. 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.

54C35 Function spaces in general topology
Zbl 1121.54031
Full Text: DOI
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