Results 11 to 20 of about 55,344 (171)
Lefschetz fixed point theorem for intersection homology
Commentarii Mathematici Helvetici, 1985 Es sei X eine kompakte orientierbare n-dimensionale topologische Mannigfaltigkeit. Für eine stetige Selbstabbildung \(f: X\to X\) liefert der klassische Fixpunktsatz von Lefschetz eine notwendige algebraisch- topologische Bedingung für die Existenz von Fixpunkten: Ist \(\Delta\) die Diagonale von \(X\times X\) und G(f) der Graph von f in \(X\times X\),
Mark Goresky, Robert MacPherson
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The equivariant Lefschetz fixed point theorem for proper cocompact G-manifolds [PDF]
High-Dimensional Manifold Topology, 2003 Suppose one is given a discrete group G, a cocompact proper Gmanifold M, and a G-self-map f : M ! M. Then we introduce the equivariant Lefschetz class of f, which is globally deflned in terms of cellular chain complexes, and the local equivariant Lefschetz class of f, which is locally deflned in terms of flxed point data.
Wolfgang Lück, Jonathan Rosenberg
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On a homotopy converse to the Lefschetz fixed point theorem [PDF]
Pacific Journal of Mathematics, 1966 Robert F. Brown
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Once More on the Lefschetz Fixed Point Theorem [PDF]
Bulletin of the Polish Academy of Sciences Mathematics, 2007 Lech Górniewicz, Mirosław Ślosarski
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Lefschetz fixed point theorems for correspondences [PDF]
, 2022 The classical Lefschetz fixed point theorem states that the number of fixed points, counted with multiplicity $\pm 1$, of a smooth map $f$ from a manifold $M$ to itself can be calculated as the alternating sum $\sum (-1)^k \textrm{ tr } f^*|_{H^k(M)}$ of the trace of the induced homomorphism in cohomology.
Loring W. Tu
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The Lefschetz fixed point theorem for some noncompact multi-valued maps [PDF]
Fundamenta Mathematicae, 1977 Gilles Fournier, Lech Górniewicz
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The Lefschetz fixed point theorem for multivalued maps of non-metrizable spaces [PDF]
Fundamenta Mathematicae, 1976 Gilles Fournier, Lech Górniewicz
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The Lefschetz-Hopf theorem and axioms for the Lefschetz number
Fixed Point Theory and Applications, 2004 The reduced Lefschetz number, that is, L(⋅)−1 where L(⋅) denotes the Lefschetz number, is proved to be the unique integer-valued function λ on self-maps of compact polyhedra which is constant on homotopy classes such that (1) λ(fg ...
Robert F. Brown, Martin Arkowitz
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Lefschetz-type fixed point theorems for spheric mappings [PDF]
Fixed Point Theory, 2018 In this paper, Lefschetz-type fixed point theorems are given for spheric maps on approximative retracts, weak approximative retracts, and multiretracts. The authors also present randomized versions of these theorems and indicate some further generalizations and possibilities. Finally they formulate three open problems.
Ján Andres, Lech Górniewicz
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