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A theorem on orientable surfaces in four-dimensional space

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Commentarii Mathematici Helvetici

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Literatur

  1. Blaschke, W., Ann. Mat. Pura Appl. (4) 28, 205–209 (1949).

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  2. Gysin, W., Comm. Math. Helv. 14, 61–122 (1942).—Chern, S. S. and Spanier, E. H., Proc. Nat. Acad. Sci., U. S. A. 36, 248–255 (1950).

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  3. Seifert, H., Math. Zeitschr. 41 (1936) 1–17.—Whitney, H., Lectures in Topology, Univ. of Mich. Press (1941) 101–141.

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  4. We owe this simple description of the proof to Professor H. Hopf, who also called our attention to the problem settled in this paper.

  5. Thom, R., C. R. Paris 230, 507–508 (1950).

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  6. The wedge denotes Grassmann multiplication as in Bourbaki, N., Algèbre Multilinéare, Hermann, Paris (1948).

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Authors and Affiliations

  1. Chicago

    Shiing-Shen Chern & E. Spanier

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  1. Shiing-Shen Chern
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  2. E. Spanier
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Chern, SS., Spanier, E. A theorem on orientable surfaces in four-dimensional space. Commentarii Mathematici Helvetici 25, 205–209 (1951). https://doi.org/10.1007/BF02566455

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  • DOI: https://doi.org/10.1007/BF02566455

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