A property of C_p[0,1]

2008/06/17 by Michael Levin, Levin, Michael
Mathematics · #54C35: 54F45 #FOS: Mathematics #Functional Analysis (math.FA) #General Topology (math.GN) #math.FA #math.GN #msc:54F45

paper · pdf · doi:10.48550/arxiv.0806.2719

arxiv created 2008/06/17 · arxiv updated 2009/12/01

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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