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arXiv · 0806.2719

A property of C_p[0,1]

Michael Levin
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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.

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Michael Levin. 2008-06-17. A property of C_p[0,1]. https://arxiv.org/abs/0806.2719

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