Abstract
Considering the spaces Bp[1, α] of all Baire functions x: [1, α] → ℝ on the ordinal segments [1, α] that are endowed with the topology of pointwise convergence, we give a complete topological classification of these spaces.
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Original Russian Text © 2018 Genze L.V., Gulko S.P., and Khmyleva T.E.
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Tomsk. Translated from Sibirskii Matematicheskii Zhurnal, vol. 59, no. 6, pp. 1268–1278, November–December, 2018; DOI: 10.17377/smzh.2018.59.604.
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Genze, L.V., Gulko, S.P. & Khmyleva, T.E. A Complete Topological Classification of the Space of Baire Functions on Ordinals. Sib Math J 59, 1006–1013 (2018). https://doi.org/10.1134/S0037446618060046
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DOI: https://doi.org/10.1134/S0037446618060046