On the Decomposition of a Simple Closed Curve into Two Arcs

Andrzej Trybulec

University of Bialystok

This work has been partially supported by CALCULEMUS grant HPRN-CT-2000-00102. The work has been done while the author visited Shinshu University.

Yatsuka Nakamura

Shinshu University, Nagano

Summary.

The purpose of the paper is to prove lemmas needed for the Jordan curve theorem. The main result is that the decomposition of a simple closed curve into two arcs with the ends $p_1, p_2$ is unique in the sense that every arc on the curve with the same ends must be equal to one of them.

MML Identifier: JORDAN16

Contents (PDF format)

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