On the topological entropy of continuous and almost continuous functions
From MaRDI portal
Publication:719733
DOI10.1016/j.topol.2011.06.049zbMath1227.54022OpenAlexW2004826575MaRDI QIDQ719733
Anna Loranty, Anna Bąkowska, Ryszard Jerzy Pawlak
Publication date: 11 October 2011
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.topol.2011.06.049
entropyuniform approximationmultivalued function\(\Gamma\)-approximation\(f\)-bundlealmost continuity in the sense of Stallingsentropy pointfixed point.strong entropy point
Set-valued maps in general topology (54C60) Function spaces in general topology (54C35) Selections in general topology (54C65) Entropy in general topology (54C70) Topological entropy (37B40)
Related Items
On ∞-entropy points in real analysis, The easily bored sequence, On almost continuous functions and peculiar points, The generalized entropy in the generalized topological spaces, Distortion of Dynamical Systems in the Context of Focusing the Chaos Around the Point, STABLE, ALMOST STABLE AND ODD POINTS OF DYNAMICAL SYSTEMS, Remarks on ultrametrics and metric-preserving functions, On Local Aspects of Entropy, Trajectories, first return limiting notions and rings of H-connected and iteratively H-connected functions, ON GENERATORS AND DISTURBANCES OF DYNAMICAL SYSTEMS IN THE CONTEXT OF CHAOTIC POINTS
Cites Work
- Set valued mappings, continuous selections, and metric projections
- Some generic properties in fixed point theory
- Continuous selection theorems for nonlower semicontinuous multifunctions.
- Topological entropy and the preimage structure of maps
- On a question of Borsuk concerning non-continuous retracts II
- On the entropy of Darboux functions
- Continuous Selections for Weakly Hausdorff Lower Semicontinuous Multifunctions
- On the Porosity of the Set of ω-Nonexpansive Mappings without Fixed Points
- Period Three Implies Chaos
- Introduction to Topological Manifolds
- Erratum to "Entropy for Group Endomorphisms and Homogeneous Spaces"
- Almost continuous functions on $I^n$
- A nonlinear Banach–Steinhaus theorem and some meager sets in Banach spaces
- Fixed point theorems for connectivity maps
- Dynamical systems generated by functions with connected \(G_\delta\) graphs
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item