Topological classification of linear endomorphisms

DOI10.1007/BF01418922zbMath0251.58008OpenAlexW3010524310MaRDI QIDQ5921556

Nicolaas H. Kuiper, Joel W. Robbin

Publication date: 1973

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

Full work available at URL: https://eudml.org/doc/142189

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

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Cites Work

• Unnamed Item
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• Torsion et type simple d'homotopie. Exposés faits au Séminaire de Topologie de l'université de Lausanne
• A Lefschetz fixed point formula for elliptic complexes. II: Applications
• On the triangulation of manifolds and the Hauptvermutung
• On topological conjugation in linear groups
• Stable linear maps
• Topological conjugacy and structural stability for discrete dynamical systems