A property of $C_p[0,1]$
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- by Michael Levin PDF
- Trans. Amer. Math. Soc. 363 (2011), 2295-2304 Request permission
Abstract:
We prove that for every finite-dimensional compact metric space $X$ there is an open continuous linear surjection from $C_p[0,1]$ onto $C_p(X)$. The proof makes use of embeddings introduced by Kolmogorov and Sternfeld in connection with Hilbert’s 13th problem.References
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Additional Information
- Michael Levin
- Affiliation: Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, Be’er Sheva 84105, Israel
- MR Author ID: 292915
- Email: mlevine@math.bgu.ac.il
- Received by editor(s): June 18, 2008
- Published electronically: December 20, 2010
- Additional Notes: The author was supported by ISF grant 836/08
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 363 (2011), 2295-2304
- MSC (2000): Primary 54C35, 54F45
- DOI: https://doi.org/10.1090/S0002-9947-2010-05052-4
- MathSciNet review: 2763717