A property of C_p[0,1]
classification
🧮 math.GN
math.FA
keywords
compactconnectioncontinuousdimensionalembeddingseveryfinitehilbert
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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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