A Complete Topological Classification of the Space of Baire Functions on Ordinals
- Authors: Genze L.V.1, Gulko S.P.1, Khmyleva T.E.1
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Affiliations:
- Tomsk State University
- Issue: Vol 59, No 6 (2018)
- Pages: 1006-1013
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172091
- DOI: https://doi.org/10.1134/S0037446618060046
- ID: 172091
Cite item
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.
About the authors
L. V. Genze
Tomsk State University
Author for correspondence.
Email: genze@math.tsu.ru
Russian Federation, Tomsk
S. P. Gulko
Tomsk State University
Email: genze@math.tsu.ru
Russian Federation, Tomsk
T. E. Khmyleva
Tomsk State University
Email: genze@math.tsu.ru
Russian Federation, Tomsk