On the Dividing Function of the Simple Closed Curve into Segments

Yatsuka Nakamura

Shinshu University, Nagano

Summary.

At the beginning, the concept of the segment of the simple closed curve in 2-dimensional Euclidean space is defined. Some properties of segments are shown in the succeeding theorems. At the end, the existence of the function which can divide the simple closed curve into segments is shown. We can make the diameter of segments as small as we want.

MML Identifier: JORDAN7

Contents (PDF format)

1. Definition of the Segment and Its Property
2. A Function to Divide the Simple Closed Curve

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