Email this article Linear homeomorphisms of spaces of continuous functions on long Sorgenfrey lines
- Authors: Trofimenko N.N.1, Khmyleva T.E.1
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Affiliations:
- Tomsk State University
- Issue: Vol 57, No 3 (2016)
- Pages: 558-564
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/170564
- DOI: https://doi.org/10.1134/S0037446616030204
- ID: 170564
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Abstract
We carry out a linear homeomorphic classification of the spaces of continuous functions on the long Sorgenfrey lines Sα, where a is an arbitrary ordinal. The spaces of continuous functions are endowed with the topology of pointwise convergence and denoted by Cp(Sα).
About the authors
N. N. Trofimenko
Tomsk State University
Author for correspondence.
Email: trofimenko@sibmail.com
Russian Federation, Tomsk
T. E. Khmyleva
Tomsk State University
Email: trofimenko@sibmail.com
Russian Federation, Tomsk
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