Cover Image

Procountable groups are not classifiable by countable structures

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Gao, Su, Nies, André, Paolini, Gianluca
Format:	Preprint
Published:	2025
Subjects:	Logic Group Theory 03E15, 54H05, 22A05, 20B27
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Automorphism groups of Boolean powers with ample generics
by: Mayr, Peter, et al.
Published: (2025)

Filtered Boolean powers of finite simple non-abelian Mal'cev algebras
by: Mayr, Peter, et al.
Published: (2024)

The Isomorphism Problem for Oligomorphic Groups with Weak Elimination of Imaginaries
by: Paolini, Gianluca
Published: (2024)

The homeomorphisms of the Sierpiński carpet are not classifiable by countable structures
by: Kulshreshtha, Dhruv, et al.
Published: (2024)

The epimorphism relation among countable groups is a complete analytic quasi-order
by: Gao, Su, et al.
Published: (2025)

A Galois correspondence for automorphism groups of structures with the Lascar Property
by: Paolini, Gianluca, et al.
Published: (2025)

The class and dynamics of $α$-balanced Polish groups
by: Allison, Shaun, et al.
Published: (2024)

Generic isomorphism classes of abelian groups
by: Darji, Udayan B., et al.
Published: (2023)

Sharply k-transitive actions on ultrahomogeneous structures
by: González, J. de la Nuez, et al.
Published: (2025)

$\aleph_1$-free abelian non-Archimedean Polish groups
by: Paolini, Gianluca, et al.
Published: (2024)

Strong ergodicity phenomena for Bernoulli shifts of bounded algebraic dimension
by: Panagiotopoulos, Aristotelis, et al.
Published: (2021)

Definable expansions on countable groups and countable Borel equivalence relations
by: Wolman, Michael
Published: (2025)

On the complexity of extensions of non-archimedean Polish groups admitting a compatible complete left-invariant metric
by: Ding, Longyun, et al.
Published: (2026)

On extendability to $F_σ$ ideals
by: Kwela, Adam
Published: (2021)

Definability of maximal cofinitary groups
by: Mejak, Severin, et al.
Published: (2022)

Machine learning and the Continuum Hypothesis
by: Hart, Klaas Pieter
Published: (2019)

Polish spaces for countable and separable structures through quotient encodings
by: Kania, Tomasz
Published: (2026)

Aspects of automatic continuity
by: Rosendal, Christian, et al.
Published: (2024)

Realizations of countable Borel equivalence relations
by: Frisch, Joshua, et al.
Published: (2021)

Isometry groups and countable groups with the Lévy property
by: Dai, Wei, et al.
Published: (2025)

Invariant uniformization
by: Kechris, Alexander S., et al.
Published: (2024)

Unboring ideals
by: Kwela, Adam
Published: (2021)

Borel Conjecture for the Marczewski ideal
by: Brendle, Joerg, et al.
Published: (2024)

Nonstandard free groups
by: Miasnikov, Alexei, et al.
Published: (2026)

Generic dichotomy for homomorphisms for $E_0^\mathbb{N}$
by: Shani, Assaf
Published: (2024)

The Banach-Tarski paradox in complete discretely valued fields
by: Orzechowski, Kamil
Published: (2026)

Generic properties of topological groups
by: Elekes, Márton, et al.
Published: (2022)

Inner ultrahomogeneous groups
by: Rzepecki, Tomasz
Published: (2024)

Continuity of measurable cocycles
by: Rosendal, Christian
Published: (2025)

Profinite rigidity of crystallographic groups arising from Lie theory
by: Carolillo, Davide, et al.
Published: (2025)

Enveloping Ellis semigroups as compactifications of transformations groups
by: Kozlov, K. L., et al.
Published: (2024)

Generics in invariant subsets of some highly homogeneous permutation groups
by: Drzewiecka, Monika, et al.
Published: (2023)

Minimal and intrinsic topologies on monoids of elementary embeddings
by: Gonzalez, J. de la Nuez, et al.
Published: (2026)

Some generalized metric properties of $n$-semitopological groups
by: Lin, Fucai, et al.
Published: (2024)

On equivalence relations induced by Polish groups
by: Ding, Longyun, et al.
Published: (2022)

Graphical models for topological groups: A case study on countable Stone spaces
by: Branman, Beth, et al.
Published: (2024)

Generalized Descriptive Set Theory and Classification Theory
by: Friedman, Sy-David, et al.
Published: (2012)

On the methods of reduction of some types of Marczewski-Burstin measurable functions to continuous functions on products of perfect sets
by: Hołubowski, Waldemar, et al.
Published: (2025)

Minimal Banach-Tarski Decompositions
by: Straffelini, Cesare, et al.
Published: (2025)

Projective functions
by: Carassus, Laurence, et al.
Published: (2025)