Lefschetz coincidence formula on non-orientable manifolds

Daciberg Gonçalves; Jerzy Jezierski

Fundamenta Mathematicae (1997)

  • Volume: 153, Issue: 1, page 1-23
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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Gonçalves, Daciberg, and Jezierski, Jerzy. "Lefschetz coincidence formula on non-orientable manifolds." Fundamenta Mathematicae 153.1 (1997): 1-23. <http://eudml.org/doc/212212>.

@article{Gonçalves1997,
abstract = {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.},
author = {Gonçalves, Daciberg, Jezierski, Jerzy},
journal = {Fundamenta Mathematicae},
keywords = {manifold; coincidence; orientation true maps; twisted coefficients; Lefschetz number; Nielsen class},
language = {eng},
number = {1},
pages = {1-23},
title = {Lefschetz coincidence formula on non-orientable manifolds},
url = {http://eudml.org/doc/212212},
volume = {153},
year = {1997},
}

TY - JOUR
AU - Gonçalves, Daciberg
AU - Jezierski, Jerzy
TI - Lefschetz coincidence formula on non-orientable manifolds
JO - Fundamenta Mathematicae
PY - 1997
VL - 153
IS - 1
SP - 1
EP - 23
AB - 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.
LA - eng
KW - manifold; coincidence; orientation true maps; twisted coefficients; Lefschetz number; Nielsen class
UR - http://eudml.org/doc/212212
ER -

References

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