Fixed point indices of equivariant maps and Möbius inversion

DOI10.1007/BF01404915zbMath0612.58047OpenAlexW2089525603MaRDI QIDQ1088252

Katsuhiro Komiya

Publication date: 1988

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143534

zbMATH Keywords

equivariant mapfixed point indexMöbius inversioniterated map

Mathematics Subject Classification ID

Fixed-point theorems on manifolds (58C30) Index theory and related fixed-point theorems on manifolds (58J20) Fixed points and coincidences in algebraic topology (55M20) Topological transformation groups (57S99)

Related Items (9)

A comparison principle and extension of equivariant maps ⋮ Reidemeister numbers of equivariant maps ⋮ Lefschetz indices for \(n\)-valued maps ⋮ Equivariant hopf theorem ⋮ Nielsen fixed point theory for partially ordered sets ⋮ Fixed-orbit indices. I ⋮ Making equivariant maps fixed point free ⋮ On congruences for the traces of powers of some matrices ⋮ Critical orbits of symmetric functionals

Cites Work

• Fixed point indices of iterated maps
• Transformation groups and representation theory
• The fixed point transfer of fiber-preserving maps
• The fixed point index of fibre-preserving maps
• Fixed point index and fixed point theorem for Euclidean neighborhood retracts
• Fixed Point Theory and Homotopy Theory
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