Weakly almost periodic functions, model-theoretic stability, and minimality of topological groups

DOI10.1090/tran/6883zbMath1350.22005arXiv1312.7757OpenAlexW2950016555MaRDI QIDQ2821689

Todor Tsankov, Itaï Ben Yaacov

Publication date: 22 September 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.7757

zbMATH Keywords

stabilitygroup compactificationsRoelcke precompactWAPminimal groups\(\aleph_0\)-categoricalreflexively representable

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Structure of topological semigroups (22A15) Classification theory, stability, and related concepts in model theory (03C45) Groups as automorphisms of other structures (22F50)

Related Items (21)

A topological characterisation of endomorphism monoids of countable structures ⋮ On a Roelcke-precompact Polish group that cannot act transitively on a complete metric space ⋮ RECONSTRUCTION OF NON--CATEGORICAL THEORIES ⋮ Model-theoretic aspects of the Gurarij operator system ⋮ A uniform Birkhoff theorem ⋮ AUTOMORPHISM GROUPS OF RANDOMIZED STRUCTURES ⋮ Eberlein oligomorphic groups ⋮ Group topologies on automorphism groups of homogeneous structures ⋮ Infinite-dimensional Polish groups and property (T) ⋮ Maximal equivariant compactification of the Urysohn spaces and other metric structures ⋮ AUTOMATIC CONTINUITY FOR ISOMETRY GROUPS ⋮ The dynamical hierarchy for Roelcke precompact Polish groups ⋮ Fraïssé limits in functional analysis ⋮ Permutation groups with small orbit growth ⋮ Amenability, connected components, and definable actions ⋮ Galois groups as quotients of Polish groups ⋮ Locally Roelcke precompact Polish groups ⋮ Fixed points in compactifications and combinatorial counterparts ⋮ Unnamed Item ⋮ Minimality of topological matrix groups and Fermat primes ⋮ Polish topologies on groups of non-singular transformations

Cites Work

• Unitary representations of oligomorphic groups
• On group topologies and idempotents in weak almost periodic compactifications
• Model-theoretic independence in the Banach lattices \(L_{p}(\mu)\)
• Total minimality of the unitary groups
• The isometry group of the Urysohn space as a Lévy group
• On subgroups of minimal topological groups
• Quasi finitely axiomatizable totally categorical theories
• Compact semitopological semigroups: An intrinsic theory
• A survey of homogeneous structures
• Generic elements in isometry groups of Polish ultrametric spaces
• \(\sigma \)-continuity and related forcings
• Automatic continuity for the unitary group
• Polish topometric groups
• The Group Aut (μ) is Roelcke Precompact
• Projective Fraïssé limits and the pseudo-arc
• On d-finiteness in continuous structures
• Turbulence, amalgamation, and generic automorphisms of homogeneous structures
• New algebras of functions on topological groups arising from G-spaces
• A topological version of the Bergman property
• The Small Index Property for ω‐Stable ω‐Categorical Structures and for the Random Graph
• Lelek fan from a projective Fraïssé limit
• Global and local boundedness of Polish groups
• TOPOLOGICAL GROUP STRUCTURES OF INFINITE SYMMETRIC GROUPS
• Criteres de Compacite dans les Espaces Fonctionnels Generaux
• The Roelcke compactification of groups of homeomorphisms
• Every semitopological semigroup compactification of the group \(H_+[0,1\) is trivial]
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Weakly almost periodic functions, model-theoretic stability, and minimality of topological groups