資料紹介

　This film is about the forming curve in the plane. You can think the curve with the pass with the moving point. But we will acquit the curve satisfied certain condition.
　First, we only consider closed curves. That is closed with the moving point return to the starting position. Second, the point must not jump. It must move continuously. Third, there must be attention a lying every point on the curve. The tangent vector with the finding the allow a lying this line in the direction the pointed moving. The fourth condition is the tangent vector must turn smoothly and continuously at the point move the long curve. This means that corner is not allowed because the tangent vector with jumped. System finally, we must also require the tangent vector returns to its initial direction. This prohibit corner at the starting point. Third which satisfied with all conditions are called regular closed curve.

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THE TOPOLOGY FILMS PROJECT
Regular homotopies in the plane Part 1
This film is about the forming curve in the plane. You can think the curve with the pass with the moving point. But we will acquit the curve satisfied certain condition.
First, we only consider closed curves. That is closed with the moving point return to the starting position. Second, the point must not jump. It must move continuously. Third, there must be attention a lying every point on the curve. The tangent vector with the fi...

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