English

A property of C_p[0,1]

General Topology 2008-06-18 v1 Functional Analysis

Abstract

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

Keywords

Cite

@article{arxiv.0806.2719,
  title  = {A property of C_p[0,1]},
  author = {Michael Levin},
  journal= {arXiv preprint arXiv:0806.2719},
  year   = {2008}
}
R2 v1 2026-06-21T10:51:19.678Z