Abstract
Constructions of homeomorphisms on subsets of \(\mathcal{R}\) are constructed and a conjecture is stated about the existence of such homeomorphisms.
Citation
F. S. Cater. "On Continuous One-to-One Functions on Sets of Real Numbers." Real Anal. Exchange 23 (2) 539 - 544, 1997/1998.
Information
Published: 1997/1998
First available in Project Euclid: 14 May 2012
zbMATH: 0943.26006
MathSciNet: MR1639968
Subjects:
Primary:
26A15
,
54C05
Keywords:
{one-to-one functions}
,
{special pairs}
,
{the Cantor ternary set}
Rights: Copyright © 1999 Michigan State University Press
