On the nonexistence of iterative roots

DOI10.1016/S0166-8641(96)00107-1zbMath0910.58021MaRDI QIDQ676961

Semeon A. Bogatyi

Publication date: 1 June 1997

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

zbMATH Keywords

iterative roottopological conjugationindex of fixed pointsmultiplicity of zeros

Mathematics Subject Classification ID

Topological dynamics (37B99) Index theory and related fixed-point theorems on manifolds (58J20)

Related Items

Existence of iterative roots for the sickle-like functions, Continuity of iteration and approximation of iterative roots, The non-iterates are dense in the space of continuous self-maps, Iterative roots of two-dimensional mappings, Iterative square roots of functions, Non-monotonic iterative roots extended from characteristic intervals, Iterative roots with circuits for piecewise continuous and globally periodic maps, Estimation, dependence and stability of solutions of an iterative equation, Iterative roots of clenched single-plateau functions, Algebra, geometry, and topology of the substitution group of formal power series, On fractional iterates of a Brouwer homeomorphism embeddable in a flow, Extension of iterative roots

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