Maximal equivariant compactifications

DOI10.1016/j.topol.2022.108372OpenAlexW4311488477MaRDI QIDQ2691862

Michael G. Megrelishvili

Publication date: 30 March 2023

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

Full work available at URL: https://arxiv.org/abs/2201.13426

zbMATH Keywords

equivariant compactificationThompson's groupuniform spacelinearly ordered spaceproximity spaceUrysohn sphereGurarij sphere

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35)

Cites Work

• Spectral decompositions of spaces induced by spectral decompositions of acting groups
• Rectangular conditions in products and equivariant completions
• Total minimality of the unitary groups
• Constructing Tychonoff \(G\)-spaces which are not \(G\)-Tychonoff
• Equivariant embeddings and \(\omega\)-bounded groups
• Admissible topologies for groups of homeomorphisms and substitutions of groups of \(G\)-spaces
• Uniform equicontinuity and groups of homeomorphisms
• Maximal equivariant compactification of the Urysohn spaces and other metric structures
• On the \(G\)-compactifications of the rational numbers
• A topological transformation group without non-trivial equivariant compactifications
• Extension of \(G\)-uniform maps
• Dieudonné completion and \(b_{f}\)-group actions
• \(G\)-compactifications of pseudocompact \(G\)-spaces
• On \(G\)-compactifications
• Ordered proximity spaces
• Pseudocompactness and uniform continuity in topological groups
• Topology of actions and homogeneous spaces
• Generic orbits and type isolation in the Gurarij space
• TOPOLOGICAL GROUPS AND DUGUNDJI COMPACTA
• Topological transformation groups and Dugundji compacta
• A TikhonovG-space not admitting a compact HausdorffG-extension orG-linearization
• ON EQUIVARIANT EMBEDDINGS OFG-SPACES
• Can simple geometrical objects be maximal compact extensions for $ \mathbb{R}^n$?
• Circular orders, ultra-homogeneous order structures, and their automorphism groups
• Pseudocompactness in the Realm of Topological Transformation Groups
• The linear isometry group of the Gurarij space is universal
• A construction of the greatest ambit
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