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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 6, Pages 1268–1278
DOI: https://doi.org/10.17377/smzh.2018.59.604 (Mi smj3042) 		 
A complete topological classification of the space of Baire functions on ordinals

L. V. Genze, S. P. Gulko, T. E. Khmyleva

Tomsk State University, Tomsk, Russia
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DOI: https://doi.org/10.17377/smzh.2018.59.604
Abstract: Considering the spaces $B_p[1,\alpha]$ of all Baire functions $x\colon[1,\alpha]\to\mathbb R$ on the ordinal segments $[1,\alpha]$ that are endowed with the topology of pointwise convergence, we give a complete topological classification of these spaces.
Keywords: Baire $1$-function, space of Baire functions, topology of pointwise convergence, homeomorphism, ordinal segment, order topology, real compactness.
Funding agency Grant number
Russian Foundation for Basic Research 17-51-18051
The authors were supported by the Russian Foundation for Basic Research (Grant 17-51-18051).
Received: 11.02.2018
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 6, Pages 1006–1013
DOI: https://doi.org/10.1134/S0037446618060046
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: 35R30
Language: Russian
Citation: L. V. Genze, S. P. Gulko, T. E. Khmyleva, “A complete topological classification of the space of Baire functions on ordinals”, Sibirsk. Mat. Zh., 59:6 (2018), 1268–1278; Siberian Math. J., 59:6 (2018), 1006–1013
Citation in format AMSBIB
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