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 language | English |
---|---|
Pages (from-to) | 2295-2304 |
Number of pages | 10 |
Journal | Transactions of the American Mathematical Society |
Volume | 363 |
Issue number | 5 |
DOIs | |
State | Published - 1 May 2011 |
Keywords
- Basic embeddings
- C-spaces
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics