Geodesic
Lefschetz coincidence formula on non-orientable manifolds
Fundamenta Mathematicae, Tome 153 (1997) no. 1, pp. 1-23
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We generalize the Lefschetz coincidence theorem to non-oriented manifolds. We use (co-) homology groups with local coefficients. This generalization requires the assumption that one of the considered maps is orientation true. 
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Daciberg Lima Gonçalves; Jerzy  Jezierski. Lefschetz coincidence formula on non-orientable manifolds. Fundamenta Mathematicae, Tome 153 (1997) no. 1, pp. 1-23. doi: 10.4064/fm-153-1-1-23

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