Generalizing the fixed point index

DOI10.1007/BF01420294zbMath0365.58005OpenAlexW2017102305MaRDI QIDQ1241742

Roger D. Nussbaum

Publication date: 1977

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162995

Mathematics Subject Classification ID

Infinite-dimensional manifolds (58B99) Fixed points and coincidences in algebraic topology (55M20) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

Related Items (13)

On the weak-approximate fixed point property ⋮ On homotopies of morphisms and admissible mappings ⋮ Unnamed Item ⋮ Generalizing the Kreĭn-Rutman theorem, measures of noncompactness and the fixed point index ⋮ Condensing operators ⋮ Equivariant Lefschetz and Fuller indices via topological intersection theory ⋮ 70 Years of asymptotic fixed point theory ⋮ Unnamed Item ⋮ Fixed point index in symmetric products ⋮ On forced fast oscillations for delay differential equations on compact manifolds ⋮ Bifurcations of compactifying maps ⋮ Calculation of Lefschetz and Nielsen numbers in hyperspaces for fractals and dynamical systems ⋮ Genericity in equivariant dynamical systems and equivariant Fuller index theory

Cites Work

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• A global bifurcation theorem with applications to functional differential equations
• Asymptotic fixed point theorems
• The fixed point index for local condensing maps
• Théorie des points fixes : indice total et nombre de Lefschetz
• An Infinite Dimensional Version of Sard's Theorem
• The Leray-Schauder index and the fixed point theory for arbitrary ANRs
• Some Asymptotic Fixed Point Theorems
• The radius of the essential spectrum

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