Generalized Lefschetz Numbers

DOI10.2307/1998959zbMath0507.55001OpenAlexW4255915075MaRDI QIDQ4744973

Sufian Husseini

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/1998959

zbMATH Keywords

Nielsen numberReidemeister tracechain complexesgeneralized Lefschetz numberHopf Trace Theorempolyhedron satisfying the Wecken conditionself-map of a finite CW complex

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Degree, winding number (55M25) Homological methods in group theory (20J05) Fixed points and coincidences in algebraic topology (55M20) Chain complexes in algebraic topology (55U15)

Related Items (16)

Coincidence invariants and higher Reidemeister traces ⋮ A generalized Lefschetz number for local Nielsen fixed point theory ⋮ Obstruction theory in a model category and Klein and Williams’ intersection invariants ⋮ Computation of the local generalized \(H\)-Lefschetz number ⋮ Generalized Lefschetz numbers of pushout maps ⋮ Isovariant homotopy theory and fixed point invariants ⋮ Difference cochains and Reidemeister traces ⋮ Traces in symmetric monoidal categories ⋮ The Reidemeister trace of an \(n\)-valued map ⋮ Colored Jones polynomials and abelianized Lefschetz numbers ⋮ Relative fixed point theory ⋮ The multiplicativity of fixed point invariants ⋮ The number of periodic points of smooth maps ⋮ Making equivariant maps fixed point free ⋮ The generalized Lefschetz number of homeomorphisms on punctured disks ⋮ A relative generalized Lefschetz number

Cites Work

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• Fixed point theory for non simply connected manifolds
• An estimate of the Nielsen number and an example concerning the Lefschetz fixed point theorem
• Centerless groups -- an algebraic formulation of Gottlieb's theorem
• Automorphismen von Homotopiekettenringen
• Fixpunktklassen. 2. Homotopieinvarianten der Fixpunkttheorie
• A Certain Subgroup of the Fundamental Group

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