A property of ![$ C_p[0,1]$](/tran/2011-363-05/S0002-9947-2010-05052-4/gif-title0/img1.gif){kind=small}
Author:
Michael Levin
Journal:
Trans. Amer. Math. Soc. 363 (2011), 2295-2304
MSC (2000):
Primary 54C35, 54F45
DOI:
https://doi.org/10.1090/S0002-9947-2010-05052-4
Published electronically:
December 20, 2010
MathSciNet review:
2763717
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: We prove that for every finite-dimensional compact metric space 
there is an open continuous linear surjection from ![$ C_p[0,1]$](/tran/2011-363-05/S0002-9947-2010-05052-4/gif-abstract0/img2.gif){kind=small}
onto 
. The proof makes use of embeddings introduced by Kolmogorov and Sternfeld in connection with Hilbert's 13th problem.
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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
Email:
mlevine@math.bgu.ac.il
DOI:
https://doi.org/10.1090/S0002-9947-2010-05052-4
Keywords:
$C_{p}$-spaces,
basic embeddings
Received by editor(s):
June 18, 2008
Published electronically:
December 20, 2010
Additional Notes:
The author was supported by ISF grant 836/08
Article copyright:
© Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
