Actions by the classical Banach spaces

DOI10.2307/2586545zbMath0954.03048OpenAlexW2082696471MaRDI QIDQ4953228

Greg Hjorth

Publication date: 5 February 2001

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2586545

zbMATH Keywords

Banach spaceBorel reducibilityorbit equivalence relationcontinuous actionBorel cardinalityPolishable idealPolish \(G\)-space

Mathematics Subject Classification ID

Descriptive set theory (03E15) Topological groups (topological aspects) (54H11) General groups of measure-preserving transformations (28D15) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (14)

Borel cardinalities below $c_0$ ⋮ Borel reducibility as an additive property of domains ⋮ A note on equivalence relations ⋮ Characterization of ℓp-like and c₀ -like equivalence relations ⋮ Abelian group actions and hypersmooth equivalence relations ⋮ A trichotomy for a class of equivalence relations ⋮ On Schauder equivalence relations ⋮ ON EQUIVALENCE RELATIONS GENERATED BY SCHAUDER BASES ⋮ CONTINUOUS LOGIC AND BOREL EQUIVALENCE RELATIONS ⋮ Effective compactness and sigma-compactness ⋮ Borel reductibility and Hölder (α) embeddability between Banach spaces ⋮ Basis problem for turbulent actions. I: Tsirelson submeasures ⋮ Reducibility and nonreducibility between ℓ^{𝑝} equivalence relations ⋮ Relative primeness and Borel partition properties for equivalence relations

Cites Work

• Unnamed Item
• Descriptive set theory
• Orbit structure and countable sections for actions of continuous groups
• Rigidity properties of Borel ideals on the integers
• Counting the number of equivalence classes of Borel and coanalytic equivalence relations
• Countable ordinals and the analytical hierarchy, II
• Analytic Ideals
• The classification of hypersmooth Borel equivalence relations

This page was built for publication: Actions by the classical Banach spaces