Geodesic
On the Lefschetz coincidence theorem
Sbornik. Mathematics, Tome 200 (2009) no. 7, pp. 943-979

Voir la notice de l'article provenant de la source Math-Net.Ru

The Lefschetz number is constructed for two maps of noncompact nonorientable topological manifolds of the same dimension; it is proved that if it is nonzero, then there is a coincidence point of these maps. Bibliography: 15 titles.
Keywords: coincidence points, Lefschetz numbers, maps of manifolds. 
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D. V. Artamonov. On the Lefschetz coincidence theorem. Sbornik. Mathematics, Tome 200 (2009) no. 7, pp. 943-979. http://geodesic.mathdoc.fr/item/SM_2009_200_7_a0/