(Looking for) the heart of abelian Polish groups
type: Item
instance of: scholarly article
title: (Looking for) the heart of abelian Polish groups
author: Martino Lupini
published in: Advances in Mathematics
publication date: 2024-09-19T00:00:00Z
Mathematics Subject Classification ID: 54H05
Mathematics Subject Classification ID: 20K45
Mathematics Subject Classification ID: 18F60
Mathematics Subject Classification ID: 26E30
Mathematics Subject Classification ID: 18G10
Mathematics Subject Classification ID: 46M15
zbMATH DE Number: 7915908
zbMATH Keywords: abelian Polish group
zbMATH Keywords: quasi-abelian category
zbMATH Keywords: abelian category
zbMATH Keywords: left heart
zbMATH Keywords: Borel complexity
MaRDI profile type: Publication
cites work: Q4748367
cites work: Category Theory
cites work: Q4640173
cites work: The definable content of homological invariants. II: Čech cohomology and homotopy classification
cites work: Exact categories
cites work: On the algebraic foundations of bounded cohomology
cites work: Non-Archimedean abelian Polish groups and their actions
cites work: Extensions of locally compact abelian groups. I
cites work: Borel subgroups of Polish groups
cites work: Q3525843
cites work: Spaces With a Compact Lie Group of Transformations
cites work: Q5799972
cites work: A Glimm-Effros Dichotomy for Borel Equivalence Relations
cites work: Borel equivalence relations induced by actions of the symmetric group
cites work: Q3205756
cites work: Homological algebra with locally compact Abelian groups
cites work: Countable Sections for Locally Compact Group Actions. II
cites work: Q4323294
cites work: Cross sections for quotient maps of locally compact groups.
cites work: The classification of hypersmooth Borel equivalence relations
cites work: Borel equivalence relations and cardinal algebras
cites work: Categories and Sheaves
cites work: On Euclidean Local Groups Satisfying Certain Conditions
cites work: Introduction to Smooth Manifolds
cites work: Homology
cites work: Q4215784
cites work: Group Extensions and Cohomology for Locally Compact Groups. III
cites work: Sections in principal fibre spaces
cites work: Homological Algebra in Locally Compact Abelian Groups
cites work: On the complexity of the relations of isomorphism and bi-embeddability
cites work: Dimension-theoretical structure of locally compact groups
cites work: Q3401901
cites work: Derived projective limits of topological abelian groups
cites work: Almost abelian categories
cites work: The abelian closure of an exact category
cites work: Q4934567
cites work: The coset equivalence relation and topologies on subgroups
cites work: Q4527707
cites work: Q3816562
cites work: Q3806237
cites work: Q5289026
cites work: Q3954335
cites work: Q3771071
cites work: Q3472681
cites work: Q4284372
cites work: Q4655744
cites work: The heart of the Banach spaces
cites work: Boundedness in topological rings
DOI: 10.1016/J.AIM.2024.109865
description: scientific article; zbMATH DE number 7915908