Regular Homotopies in the Plane, Part 1

Duration: 14

Year Published: 1972

Creator: Educational Development Center

Format: 16mm

Color: Color

Description: Uses computer graphics to visually prove the first half of the Whitney-Graustein theorem which states: two regular curves which are regularly homotopic must have the same rotation number. Defines conditions necessary for regular curves and regular homotopies. Illustrates violations and nonviolations of the conditions concluding with the proof of the theorem.

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Indiana University Library Moving Image Archive

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