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A Lefschetz coincidence theorem for singular varieties - MaRDI portal

A Lefschetz coincidence theorem for singular varieties (Q1710513)

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scientific article; zbMATH DE number 7005184
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A Lefschetz coincidence theorem for singular varieties
scientific article; zbMATH DE number 7005184

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    A Lefschetz coincidence theorem for singular varieties (English)
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    22 January 2019
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    The authors present a survey devoted to the Lefschetz fixed point and coincidence point formulas for maps on smooth manifolds and pseudomanifolds in the sense of M. Goresky and R. MacPherson, i.e., on \(n\)-dimensional piecewise linear polyhedra which admit a triangulation such that each \((n-1)\)-simplex is a face of exactly two \(n\)-simplices (see [\textit{M. Goresky} and \textit{R. MacPherson}, Comment. Math. Helv. 60, 366--391 (1985; Zbl 0602.55003)]). Some examples are given. For the entire collection see [Zbl 1392.58001].
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    fixed point
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    coincidence point
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    Lefschetz number
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    manifold
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    pseudomanifold
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    intersection homology
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