On the Lefschetz Number for Iterates of Continuous Mappings

DOI10.2307/2040837zbMath0316.55006OpenAlexW4237911429MaRDI QIDQ4077227

Heinz-Otto Peitgen

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/2040837

Mathematics Subject Classification ID

Degree, winding number (55M25) Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Fixed points and coincidences in algebraic topology (55M20)

Related Items (9)

The Lefschetz numbers of iterated maps ⋮ Fermat's Little Theorem and Gauss Congruence: Matrix Versions and Cyclic Permutations ⋮ The number of periodic points of smooth maps ⋮ Unnamed Item ⋮ 70 Years of asymptotic fixed point theory ⋮ Repulsive fixed points of multi-valued transformations and the fixed point index ⋮ On some fixed point principles for cones in linear normed spaces ⋮ Dold sequences, periodic points, and dynamics ⋮ Periodic points of multivalued mappings with applications to differential inclusions on tori.

Cites Work

• Unnamed Item
• Repulsive fixed points of multi-valued transformations and the fixed point index
• Asymptotic fixed-point theorems and stability
• Fixed point index and fixed point theorem for Euclidean neighborhood retracts
• Fixed points for iterates
• Ein Satz über den Leray-Schauderschen Abbildungsgrad. (Theorem on the Leray-Schauder degree of mappings)
• Lefschetz fixed point theorems for a new class of multi-valued maps
• On Periodic Maps and the Euler Characteristics of Associated Spaces

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