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The Jordan curve theorem and an unpublished manuscript by max dehn

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Bibliography

  1. Cauchy, A.L., Sur les diverses relations qu'existent entre les résidus des fonctions et les intégrales définies. Exercices d'Analyse2 (1831)=Oeuvres II 6, 124–145.

    Google Scholar 

  2. Cauchy, A.L., Sur la théorie des fonctions, C.R. Acad. Sci. Paris43 (1856) 69=Oeuvres I, 12, 235.

    Google Scholar 

  3. Riemann, B., Grundlagen für eine allgemeine Theorie der Functionen einer veränderlichen complexen Gröse. Dissertation Göttingen 1831=Gesammelte mathematische Werke 3–45.

  4. Riemann, B., Theorie der abelschen Functionen. J.f.d. reine u. angew. Math.54 (1857) 115–169 =Gesammelte mathematische Werke 88–142.

    MATH  Google Scholar 

  5. Biermann, O., Theorie der analytischen Functionen, Teubner, Leipzig 1887.

    MATH  Google Scholar 

  6. Neumann, C., Vorlesungen über Riemann's Theorie der Abel'schen Integrale. Teubner, Leipzig 1865, 2. Aufl. 1884.

    MATH  Google Scholar 

  7. Thomae, J., Theorie der Functionen eines complexen Arguments, Halle 1891.

  8. Jordan, C., Cours d'Analyse, Gauthier-Villars, Paris, 1e éd., vol.3 (1887) p. 587–594, 2e éd. vol.1 (1893) 90–99.

    Google Scholar 

  9. Schoenflies, A., Ueber einen Satz aus der Analysis situs. Nachr. Ges. Wiss. Göttingen, Math. Phys. Kl. 1896, 79–89.

  10. Pasch, M., Vorlesungen über neuere Geometrie, Teubner, Leipzig 1882.

    MATH  Google Scholar 

  11. de la Vallée Poussin, C., Cours d'analyse infinitésimale, Libraire universitaire Louvain, Gauthier-Villars Paris, 1e éd. 1903, vol.1, p. 308; 3e éd. 1914, vol.1, 374–379.

    Google Scholar 

  12. Veblen, O., A System of Axioms for Geometry, TAMS5 (1904) 343–380.

    Article  MATH  MathSciNet  Google Scholar 

  13. Ames, L.D., On the Theorem of Analysis Situs Relating to the Division of the Plane or of Space by a Closed Curve of Surface, BAMS10 (1904) 301–305.

    Google Scholar 

  14. Ames, L.D., An Arithmetic Treatment of Some Problems in Analysis Situs, Amer. J. Math.27 (1905) 345–358.

    Article  MathSciNet  Google Scholar 

  15. Osgood, W.F., Allgemeine Funktionentheorie I, Teubner, Leipzig 1906.

    Google Scholar 

  16. Bliss, G.A., The Exterior and Interior of a Plane Curve, BAMS10 (1904) 398–404.

    Google Scholar 

  17. Veblen, O., Theory of Plane Curves in Non-Metrical Analysis Situs, TAMS6 (1905) 83–98.

    Article  MATH  MathSciNet  Google Scholar 

  18. Schoenflies, A., Beiträge zur Theorie der Punktmengen, II. Math. Ann.59 (1904) 129–160.

    Article  MATH  MathSciNet  Google Scholar 

  19. Schoenflies, A., Beiträge zur Theorie der Punktmengen III. Math. Ann.62 (1906) 286–328.

    Article  MATH  MathSciNet  Google Scholar 

  20. Brouwer, L.E.J., Zur Analysis Situs. Math. Ann.68 (1910) 422–434.

    Article  MATH  MathSciNet  Google Scholar 

  21. Hall, D.W., &Spenger, G.L. II, Elementary Topology. Wiley, New York, 1955.

    MATH  Google Scholar 

  22. Young, W.H., & Young, G.C., The Theory of Sets of Points. Cambridge 1906 (reprinted, Chelsea, New York 1972).

  23. Hahn, H., Über die Anordnungssätze der Geometrie. Monatsh. Math. Phys.19 (1908) 289–303.

    Article  MATH  Google Scholar 

  24. Lennes, N.J., Theorems on the Simple Finite Polygon and Polyhedron. Amer. J. Math.33 (1911) 37–62, read to the AMS in April, 1903.

    Article  MATH  MathSciNet  Google Scholar 

  25. Lennes, N.J., Curves in Non-Metrical Analysis Situs with an Application in the Calculus of Variations, Amer. J. Math.33 (1911) 287–326, read to the AMS in December, 1905.

    Article  MATH  MathSciNet  Google Scholar 

  26. Guggenheimer, H., Méthodes topologiques en fondements de la géometrie, Bull. Res. Counc. Israel6A (1957) 103–114.

    MathSciNet  Google Scholar 

  27. Brouwer, L.E.J., Beweis des Jordanschen Kurvensatzes, Math. Ann.69 (1910) 169–175.

    Article  MATH  MathSciNet  Google Scholar 

  28. Magnus, W., Noneuclidean Tesselations and Their Groups, Academic Press, New York-London, 1974.

    MATH  Google Scholar 

  29. Meisters, G.H., Polygons Have Ears, Amer. Math. Monthly82 (1975) 648–651.

    Article  MATH  MathSciNet  Google Scholar 

  30. Bing, R.H., Elementary Point Set Topology. 8th Hubert Ellsworth Slaught Memorial Paper, {jtAmer. Math. Monthly} {vn67} ({dy1960}) {snno. 7}, part II.

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Authors and Affiliations

  1. Polytechnic Institute of New York, Brooklyn

    H. Guggenheimer

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  1. H. Guggenheimer
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Communicated byC. Truesdell

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Guggenheimer, H. The Jordan curve theorem and an unpublished manuscript by max dehn. Arch. Hist. Exact Sci. 17, 193–200 (1977). https://doi.org/10.1007/BF02464980

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