The transitivity of induced maps

DOI10.1016/j.topol.2008.12.025zbMath1234.54017OpenAlexW2094236819MaRDI QIDQ1009753

Héctor Méndez-Lango, Alejandro Illanes, Gerardo G. Acosta

Publication date: 3 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2008.12.025

zbMATH Keywords

continuumtransitivitytopological entropyHilbert cubedendriteinduced mapcontinuum of type \(\lambda \)

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Topological entropy (37B40) Continua theory in dynamics (37B45)

Related Items (22)

Monotone maps on dendrites and their induced maps ⋮ On the topological entropy on the space of fuzzy numbers ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Topological entropy of the extended tree map on the space of fuzzy numbers ⋮ Sensitivity, local stable/unstable sets and shadowing ⋮ On recurrence and entropy in the hyperspace of continua in dimension one ⋮ Polynomial entropy of induced maps of circle and interval homeomorphisms ⋮ Dynamics and topological entropy for Zadeh's extension of a compact system ⋮ Dynamic to Quotients of Hyperspaces ⋮ Shadowing, topological entropy and recurrence of induced Morse-Smale diffeomorphism ⋮ Topological entropy of induced circle maps on hyperspaces ⋮ On Devaney chaotic induced fuzzy and set-valued dynamical systems ⋮ Dynamic properties for the induced maps on n-fold symmetric product suspensions ⋮ Chain transitive induced interval maps on continua ⋮ Hyperconvergence in topological dynamics ⋮ Chain transitivity in hyperspaces ⋮ On the dynamics of subcontinua of a tree ⋮ The fixed-point property under induced interval maps of continua ⋮ On the dynamics of induced maps on the space of probability measures ⋮ On local aspects of topological transitivity and weak mixing in set-valued discrete systems ⋮ Entropy of induced maps of regular curves homeomorphisms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Chaos in hyperspace system
• Devaney's chaotic on induced maps of hyperspace
• Transitivity, mixing and chaos for a class of set-valued mappings
• Omega-limit sets in hereditarily locally connected continua
• Dynamics in one dimension
• Topological dynamics of transformations induced on the space of probability measures
• On self-homeomorphic spaces
• A note on transitivity in set-valued discrete systems.
• On chaotic set-valued discrete dynamical systems
• Rigid hereditarily indecomposable continua
• Some dynamical properties of mappings defined on Knaster continua
• On chaotic dendrites
• Characterizing mixing, weak mixing and transitivity of induced hyperspace dynamical systems
• Chaos for induced hyperspace maps
• Robinson's chaos in set-valued discrete systems
• Set-valued discrete chaos
• On mixing property in set-valued discrete systems
• Topological entropy for induced hyperspace maps
• Topological entropy and chaos for maps induced on hyperspaces
• Concerning hereditarily indecomposable continua
• The dynamics of monotone maps of dendrites
• On chaotic curves
• A Transitive Map on [0,1 Whose Inverse Limit is the Pseudoarc]
• 2^{𝑋} and 𝐶(𝑋) are homeomorphic to the Hilbert cube
• Irreducible continua with degenerate end-tranches and arcwise accessibility in hyperspaces
• Chaos, Periodicity, and Snakelike Continua
• Continua which admit only the identity mapping onto non-degenerate subcontinua

This page was built for publication: The transitivity of induced maps