The Euler-Poincaré characteristic of index maps

DOI10.1016/j.topol.2006.09.009zbMath1108.37009OpenAlexW1979382353MaRDI QIDQ869673

Marian Mrozek, Bogdan Batko

Publication date: 8 March 2007

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2006.09.009

zbMATH Keywords

periodic pointLefschetz numberEuler-Poincaré characteristicindex mapindex pairperiodicity number

Mathematics Subject Classification ID

Related Items (1)

Minimization of the number of periodic points for smooth self-maps of simply-connected manifolds with periodic sequence of Lefschetz numbers

Cites Work

• The Conley index on compact ANR's is of finite type
• Index pairs algorithms
• The Conley index for discrete semidynamical systems
• Fixed point index and fixed point theorem for Euclidean neighborhood retracts
• A cohomological Conley index for maps on metric spaces
• The existence of periodic points
• FIXED POINT INDEX IN HYPERSPACES: A CONLEY-TYPE INDEX FOR DISCRETE SEMIDYNAMICAL SYSTEMS
• Topological techniques for efficient rigorous computation in dynamics
• Open index pairs, the fixed point index and rationality of zeta functions
• Homology of representable sets
• Leray Functor and Cohomological Conley Index for Discrete Dynamical Systems
• A combinatorial procedure for finding isolating neighbourhoods and index pairs
• Dynamical systems, shape theory and the Conley index
• Shift equivalence and the Conley index
• The Leray-Schauder index and the fixed point theory for arbitrary ANRs
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