Counting Fixed Points

DOI10.2307/2043410zbMath0506.58007OpenAlexW4214728558MaRDI QIDQ4743464

Ira Rosenholtz

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2043410

zbMATH Keywords

Lefschetz numberlocal expansionsdifferentiable expanding map

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point theorems on manifolds (58C30) Dynamical systems with hyperbolic behavior (37D99)

Cites Work

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• Expanding maps on compact metric spaces
• Periodic and Fixed Points, and Commuting Mappings
• Locally Contractive and Expansive Mapping
• A Uniqueness Theorem for Fixed Points
• Local expansions, derivatives, and fixed points
• Uniqueness in the Schauder Fixed Point Theorem
• A fixed point principle for locally expansive multifunctions
• Evidence of a Conspiracy Among Fixed Point Theorems
• Fixed Points of Sequences of Locally Expansive Maps
• Topologie et équations fonctionnelles
• Endomorphisms of Compact Differentiable Manifolds