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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2009 Volume 200, Number 7, Pages 3–38 (Mi sm4399)

This article is cited in 2 papers

On the Lefschetz coincidence theorem

D. V. Artamonov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: 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.

UDC: 515.142.22

MSC: Primary 55M20; Secondary 54H25, 57N65

Received: 30.11.2007 and 28.01.2009

DOI: 10.4213/sm4399


 English version:
Sbornik: Mathematics, 2009, 200:7, 943–979

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© Steklov Math. Inst. of RAS, 2025