Global attractors for semigroup actions on uniformizable spaces

DOI10.1080/14689367.2019.1651825zbMath1439.37015arXiv1804.05687OpenAlexW2964658471WikidataQ127409918 ScholiaQ127409918MaRDI QIDQ4959943

Josiney A. Souza, Richard W. M. Alves

Publication date: 7 April 2020

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.05687

zbMATH Keywords

global attractorasymptotic compactnessmeasure of non-compactnessglobal uniform attractor

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Dynamics in general topological spaces (37B02)

Related Items (3)

Cantor-Kuratowski theorem in admissible spaces ⋮ Hyperconvergence in topological dynamics ⋮ Existence and uniqueness for directional attractors of topological cocycles

Cites Work

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• Dynamic Morse decompositions for semigroups of homeomorphisms and control systems
• Attractors and chain recurrence for semigroup actions
• Finest Morse decompositions for semigroup actions on fiber bundles
• Cantor-Kuratowski theorem in admissible spaces
• Global attractors for semigroup actions
• Semiflows on topological spaces: chain transitivity and semigroups
• On the existence of global attractors in principal bundles
• LEBESGUE COVERING LEMMA ON NONMETRIC SPACES
• A characterization of completely regular spaces

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