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arxiv: 1806.09088 · v1 · pith:NIIY2B34new · submitted 2018-06-24 · 🧮 math.GN · math.FA

Complete topological classification of Baire spaces functions on ordinals

classification 🧮 math.GN math.FA
keywords alphaspacesbaireclassificationcompletefunctionsordinalstopological
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The paper considers the spaces $B_p[1, \alpha]$ of all Baire functions $x\colon [1,\alpha]\to \mathbb{R}$, defined on segments of ordinals $[1,\alpha]$ and endowed with the topology of pointwise convergence. A complete topological classification of these spaces is given

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