Real Analysis Exchange
- Real Anal. Exchange
- Volume 24, Number 1 (1998), 161-170.
A Nonstandard Proof of the Jordan Curve Theorem
We give a nonstandard variant of Jordan's proof of the Jordan curve theorem which is free of the defects his contemporaries criticized and avoids the epsilontic burden of the classical proof. The proof is self-contained, except that the Jordan theorem for polygons is taken for granted.
Real Anal. Exchange, Volume 24, Number 1 (1998), 161-170.
First available in Project Euclid: 23 March 2011
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Kanovei, Vladimir; Reeken, Michael. A Nonstandard Proof of the Jordan Curve Theorem. Real Anal. Exchange 24 (1998), no. 1, 161--170. https://projecteuclid.org/euclid.rae/1300906020