Abstract
In his paper [109], which appeared in 1866, Jordan described one of the first attempts to prove a theorem on the topological classification of surfaces, that is, up to homeomorphisms.
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References
C. Jordan, Sur la déformation des surfaces. J. Math. Pures Appl. (Journ. de Liouville) (2), XI, 105–109 (1866). Republished in Œuvres de Camille Jordan, vol. IV (Gauthier-Villars, Paris, 1964), pp. 85–89
A.F. Möbius, Theorie der elementaren Verwandtschaften. Ber. Verh. Sachs. 15, 18–57 (1863)
H. Poincaré, Sur les propriétés arithmétiques des courbes algébriques. J. Math. Pures Appl. (Journ. de Liouville) (V), 7, 161–233 (1901). Republished in Œuvres de Henri Poincaré, vol. V (Gauthier-Villars, Paris, 1950), pp. 483–550
P. Popescu-Pampu, La bande que “tout le monde connaît”. Images des Mathématiques (CNRS, 2010). http://images.math.cnrs.fr/La-bande-que-tout-le-monde-connait.html
T. Radó, Über den Begriffe der Riemannsche Fläche. Acta Litt. Sci. Szeged 2, 101–121 (1925)
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Popescu-Pampu, P. (2016). Jordan and the Topological Classification. In: What is the Genus?. Lecture Notes in Mathematics(), vol 2162. Springer, Cham. https://doi.org/10.1007/978-3-319-42312-8_18
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DOI: https://doi.org/10.1007/978-3-319-42312-8_18
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