A characterization of completely regular spaces

DOI10.1142/S0129167X15500329zbMath1314.54016OpenAlexW2135701756MaRDI QIDQ5249995

Richard W. M. Alves, Victor H. L. Rocha, Josiney A. Souza

Publication date: 13 May 2015

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x15500329

zbMATH Keywords

uniform spacecompletely regular spaceadmissible space

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Uniform structures and generalizations (54E15) Dimension theory in general topology (54F45)

Related Items (10)

Cantor-Kuratowski theorem in admissible spaces ⋮ Entropy for semigroup actions on general topological spaces ⋮ Morse decompositions of topological cocycles ⋮ Algebraic description of chain transitivity for semigroup actions on flag bundles ⋮ Hyperconvergence in topological dynamics ⋮ Topological properties of prolongations and stable sets for semigroup actions ⋮ Global attractors for semigroup actions on uniformizable spaces ⋮ Unnamed Item ⋮ Chaos, attraction, and control for semigroup actions ⋮ Attraction, Lyapunov stability and orbital maps for semigroup actions on topological spaces and fiber bundles

Cites Work

• Some aspects of stability for semigroup actions and control systems
• Attractors and chain recurrence for semigroup actions
• Finest Morse decompositions for semigroup actions on fiber bundles
• Semiflows on topological spaces: chain transitivity and semigroups
• Recurrence theorem for semigroup actions
• Lyapunov stability for semigroup actions
• On limit behavior of semigroup actions on noncompact spaces

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