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L. V. Genze

Publications and source records attributed to L. V. Genze.

2 recordsLinked to original sources

Classification of spaces of Continuous Function on ordinals

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.

math.GN