Complete topological classification of Baire spaces functions on ordinals

2018/06/24 by Genze, L. V., Gul'ko, S. P., Khmyleva, T. E.
#FOS: Mathematics #Functional Analysis (math.FA) #General Topology (math.GN)

paper · doi:10.48550/arxiv.1806.09088

Abstract

The paper considers the spaces B_p[1, α] of all Baire functions x\colon [1,α]→ ℝ, defined on segments of ordinals [1,α] and endowed with the topology of pointwise convergence. A complete topological classification of these spaces is given

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