A property of C_p[0,1]

Details A property of C_p[0,1] A property of C_p[0,1]

2008-06-17

arxiv.org/abs/0806.2719v1

Mathematics

General Topology

Scientific paper

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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