A property of Cp[0, 1]

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

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
Volume363
Issue number5
DOIs
StatePublished - 1 May 2011

Keywords

  • Basic embeddings
  • C-spaces

ASJC Scopus subject areas

  • Mathematics (all)
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'A property of Cp[0, 1]'. Together they form a unique fingerprint.

Cite this