Local fixed point index theory for non simply connected manifolds

zbMath0469.55004MaRDI QIDQ1157045

Edward Fadell, Sufian Husseini

Publication date: 1981

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Reidemeister classesNielsen fixed point theorycompactly fixed homotopycompactly fixed mapfixed points of a map on a compact manifoldlocal Nielsen numberlocal obstruction for homotoping to a fixed point free maplocal theory of Nielsen classes of fixed points

Mathematics Subject Classification ID

Obstruction theory in algebraic topology (55S35) Fixed points and coincidences in algebraic topology (55M20) Fiber spaces in algebraic topology (55R05) Homology with local coefficients, equivariant cohomology (55N25)

Related Items (12)

A generalized Lefschetz number for local Nielsen fixed point theory ⋮ Computation of the local generalized \(H\)-Lefschetz number ⋮ Relative fixed point theory ⋮ Nielsen fixed point theory for partially ordered sets ⋮ Axioms for the coincidence index of maps between manifolds of the same dimension ⋮ On minimal fixed point numbers of relative maps ⋮ A note on the local and the extension Nielsen numbers ⋮ Epsilon Nielsen fixed point theory ⋮ Relative Nielsen theory for noncompact spaces and maps ⋮ Making equivariant maps fixed point free ⋮ Some aspects of Reidemeister fixed point theory, equivariant fixed point theory and coincidence theory ⋮ Product formula for the fixed point index of a fibre preserving map defined locally

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