A property of Cp[0, 1]

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6 Scopus citations


We prove that for every finite-dimensional compact metric space X there is an open continuous linear surjection from Cp[0, 1] onto C p(X). The proof makes use of embeddings introduced by Kolmogorov and Sternfeld in connection with Hilbert's 13th problem.

Original languageEnglish
Pages (from-to)2295-2304
Number of pages10
JournalTransactions of the American Mathematical Society
Issue number5
StatePublished - 1 May 2011


  • Basic embeddings
  • C-spaces

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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