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References
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The Eurler characteristic class is determined by the Euler numbers of the bundle over submanifolds representing a Q-homology basis, [T].
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Sullivan, D. A generalization of milnor's inequality concerning affine foliations and affine manifolds. Commentarii Mathematici Helvetici 51, 183–189 (1976). https://doi.org/10.1007/BF02568150
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DOI: https://doi.org/10.1007/BF02568150