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Winding numbers on surfaces, I

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References

  1. Chillingworth, D.R.J.: Thesis, University of Cambridge, 1968.

  2. —— Simple closed curves on surfaces. Bull. London Math. Soc.1, 310–314 (1969).

    Google Scholar 

  3. Dehn, M.: Transformation der Kurven auf zweiseitigen Flächen. Math. Ann.72, 413–421 (1912).

    Google Scholar 

  4. Massey, W.S.: Algebraic topology: An introduction. New York: Harcourt, Brace and World 1967.

    Google Scholar 

  5. Reinhart, B.L.: The winding number on two manifolds. Ann. Inst. Fourier10, 271–283 (1960).

    Google Scholar 

  6. —— Further remarks on the winding number. Ann. Inst. Fourier13, 155–160 (1963).

    Google Scholar 

  7. Seifert, H.: Topologie dreidimensionaler gefaserter Räume. Acta math.60, 147–238 (1933).

    Google Scholar 

  8. Smale, S.: Regular curves on Riemannian manifolds. Trans. Amer. Math. Soc.87, 492–512 (1958).

    Google Scholar 

  9. Steenrod, N.: The topology of fibre bundles. Princeton University Press 1951.

  10. Whitney, H.: On regular closed curves in the plane. Compositio Math.4, 276–286 (1937).

    Google Scholar 

  11. Zieschang, H.: Algorithmen für einfache Kurven auf Flächen. Mathematica scand.17, 17–40 (1965).

    Google Scholar 

  12. —— Vogt, E., Coldewey, H.-D.: Flächen und ebene diskontinuierliche Gruppen. Lecture Notes in Mathematics, No. 122. Berlin-Heidelberg-New York: Springer 1970.

    Google Scholar 

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Chillingworth, D.R.J. Winding numbers on surfaces, I. Math. Ann. 196, 218–249 (1972). https://doi.org/10.1007/BF01428050

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