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Dedicated to Professor H. Hopf
1) Research supported by the National Science Foundation. 2) By using local coefficients one can define the index on a non-orientable manifold (See [24, §39.5].)
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Thomas, E. The index of a tangent 2-field. Commentarii Mathematici Helvetici 42, 86–110 (1967). https://doi.org/10.1007/BF02564413
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DOI: https://doi.org/10.1007/BF02564413