Open Access
1998/1999 A Nonstandard Proof of the Jordan Curve Theorem
Vladimir Kanovei, Michael Reeken
Real Anal. Exchange 24(1): 161-170 (1998/1999).
Abstract

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.

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Copyright © 1998 Michigan State University Press
Vladimir Kanovei and Michael Reeken "A Nonstandard Proof of the Jordan Curve Theorem," Real Analysis Exchange 24(1), 161-170, (1998/1999). https://doi.org/
Published: 1998/1999
Vol.24 • No. 1 • 1998/1999
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