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.
@article{bwmeta1.element.bwnjournal-article-fmv153i1p1bwm,
author = {Daciberg Gon\c calves and Jerzy Jezierski},
title = {Lefschetz coincidence formula on non-orientable manifolds},
journal = {Fundamenta Mathematicae},
volume = {154},
year = {1997},
pages = {1-23},
zbl = {0884.55001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv153i1p1bwm}
}
Gonçalves, Daciberg; Jezierski, Jerzy. Lefschetz coincidence formula on non-orientable manifolds. Fundamenta Mathematicae, Tome 154 (1997) pp. 1-23. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv153i1p1bwm/
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