The definable content of homological invariants. I: \( \mathrm{Ext}\) and \(\lim^1\)
DOI10.1112/PLMS.12631MaRDI QIDQ6618019
Martino Lupini, Aristotelis Panagiotopoulos, Jeffrey Bergfalk
Publication date: 11 October 2024
Published in: Proceedings of the London Mathematical Society. Third Series (Search for Journal in Brave)
Resolutions; derived functors (category-theoretic aspects) (18G10) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) ?ech types (55N05) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Steenrod-Sitnikov homologies (55N07)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- The descriptive set-theoretical complexity of the embeddability relation on models of large size
- Orbit equivalence and Borel reducibility rigidity for profinite actions with spectral gap
- Cocycle superrigidity for profinite actions of property (T) groups
- The classification problem for \(S\)-local torsion-free abelian groups of finite rank
- Borel reductions of profinite actions of SL\(_n(\mathbb Z)\)
- A history of algebraic and differential topology 1900--1960
- On finitely generated profinite groups. I: Strong completeness and uniform bounds. II: Products in quasisimple groups.
- Isomorphisms of quotients of FDD-algebras
- On \(\varepsilon\)-representations
- Mathematical problems and games
- Analytic ideals and their applications
- Über die Erweiterung von Gruppen I, II.
- New horizons in pro-\(p\) groups
- On isometry and isometric embeddability between ultrametric Polish spaces
- Roughness and approximation of quasi-representations of amenable groups
- Jacobi fields and Finsler metrics on compact Lie groups with an application to differentiable pinching problems
- The structure of compact groups. A primer for the student -- A handbook for the expert
- Les foncteurs dérivés de lim et leurs applications en théorie des modules
- Extensions of torsion-free Abelian groups of finite rank
- Primitive torsionsfreie abelsche Gruppen vom endlichen Range.
- Erweiterung von Gruppen und ihren Isomorphismen.
- On axiomatic homology theory
- Group extensions and homology
- On Ulam stability of the real line
- Abelian pro-countable groups and non-Borel orbit equivalence relations
- Uniformly Exhaustive Submeasures and Nearly Additive Set Functions
- Borel equivalence relations and cardinal algebras
- THE CLASSIFICATION PROBLEM FOR p-LOCAL TORSION-FREE ABELIAN GROUPS OF RANK TWO
- Kazhdan constants for SL (3, Z).
- The coset equivalence relation and topologies on subgroups
- The Structure of Hyperfinite Borel Equivalence Relations
- Completely Additive Liftings
- Linear algebraic groups and countable Borel equivalence relations
- On Baire Measurable Homomorphisms of Quotients of the Additive Group of the Reals
- Analytic quotients: theory of liftings for quotients over analytic ideals on the integers
- COUNTABLE BOREL EQUIVALENCE RELATIONS
- The classification problem for torsion-free abelian groups of finite rank
- Abelian Groups
- On the complexity of the relations of isomorphism and bi-embeddability
- Über Eine Klasse von Abelschen Gruppen
- On the Stability of the Linear Functional Equation
- Approximate homomorphisms
- Approximate homomorphisms. II: Group homomorphisms
- Groups with the Haagerup property. Gromov's a-T-menability
- (Looking for) the heart of abelian Polish groups
- The definable content of homological invariants. II: Čech cohomology and homotopy classification
This page was built for publication: The definable content of homological invariants. I: \( \mathrm{Ext}\) and \(\lim^1\)
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6618019)