Further remarks on the winding number
Annales de l'Institut Fourier, Tome 13 (1963) no. 1, pp. 155-160.

Dans cet article, on donne une méthode géométrique puis une amélioration de la méthode algébrique pour calculer le “winding number” d’une courbe de Jordan, régulière sur une variété compacte orientée. La méthode géométrique est très importante pour faire comprendre le sens intuitif du “winding number”.

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     title = {Further remarks on the winding number},
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Reinhart, Bruce L. Further remarks on the winding number. Annales de l'Institut Fourier, Tome 13 (1963) no. 1, pp. 155-160. doi : 10.5802/aif.136. https://www.numdam.org/articles/10.5802/aif.136/

[1] B. L. Reinhart, Line Elements on the Torus, Amer. J. Math. 81, 617-631 (1959). | MR | Zbl

[2] B. L. Reinhart, The Winding Number on Two Manifolds, Ann. Inst. Fourier 10, 271-283 (1960). | Numdam | MR | Zbl

[3] B. L. Reinhart, Periodic Orbits on Two Manifolds, Bol. Soc. Mat. Mex. 5, 784-787 (1960). | MR | Zbl

[4] B. L. Reinhart, Algorithms for Jordan Curves on Compact Surfaces, Ann. of Math. 75, 209-222 (1962). | MR | Zbl

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