Roots of iterates of maps

DOI10.1016/0166-8641(95)00024-BzbMath0835.55002OpenAlexW1976603333MaRDI QIDQ1902995

Robert F. Brown, Helga Schirmer, Bo Ju Jiang

Publication date: 16 April 1996

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

Full work available at URL: https://doi.org/10.1016/0166-8641(95)00024-b

zbMATH Keywords

fundamental groupNielsen numberhomotopy invarianceclosed manifold\(H\)-space structurediscrete semidynamical systemirreducible root classesiterate-essentialrecurrence numberroot classes of a selfmap

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20) Topological manifolds (57N99) Homology and cohomology of (H)-spaces (57T25)

Related Items (4)

Ulam Stability of Zero Point Equations ⋮ A Nielsen theory for coincidences of iterates ⋮ Nielsen theory of roots of maps of pairs ⋮ Periodic points of multivalued mappings with applications to differential inclusions on tori.

Cites Work

• Nielsen numbers for roots of maps of aspherical manifolds
• Corrections to "On Changing Fixed Points and Coincidences to Roots"
• Mindestzahlen von Koinzidenzpunkten.
• Lectures on Nielsen fixed point theory
• Nielsen Numbers of Maps of Tori
• Certain Subgroups of the Fundamental Group and the Number of Roots of f(x) = a
• On the root classes of mapping
• On the sharpness of the ∆2 and ∆1 Nielsen numbers.
• Retractions Onto Anr's
• A Lower Bound for the Δ-Nielsen Number
• Divisible H-Spaces
• Primitive Roots of Unity in H-Manifolds
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