(Looking for) the heart of abelian Polish groups

DOI10.1016/J.AIM.2024.109865MaRDI QIDQ6608028

Martino Lupini

Publication date: 19 September 2024

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

abelian categoryBorel complexityquasi-abelian categoryabelian Polish groupleft heart

Mathematics Subject Classification ID

Resolutions; derived functors (category-theoretic aspects) (18G10) Categories, functors in functional analysis (46M15) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Topological methods for abelian groups (20K45) Non-Archimedean analysis (26E30) Categories of topological spaces and continuous mappings (18F60)

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?)
• Non-Archimedean abelian Polish groups and their actions
• Boundedness in topological rings
• Sections in principal fibre spaces
• Homological algebra with locally compact Abelian groups
• Derived projective limits of topological abelian groups
• Borel equivalence relations induced by actions of the symmetric group
• The abelian closure of an exact category
• The heart of the Banach spaces
• Borel subgroups of Polish groups
• Dimension-theoretical structure of locally compact groups
• Exact categories
• Almost abelian categories
• Introduction to Smooth Manifolds
• On the algebraic foundations of bounded cohomology
• Borel equivalence relations and cardinal algebras
• The coset equivalence relation and topologies on subgroups
• Cross sections for quotient maps of locally compact groups.
• A Glimm-Effros Dichotomy for Borel Equivalence Relations
• Group Extensions and Cohomology for Locally Compact Groups. III
• Countable Sections for Locally Compact Group Actions. II
• On the complexity of the relations of isomorphism and bi-embeddability
• Categories and Sheaves
• Category Theory
• Homological Algebra in Locally Compact Abelian Groups
• Extensions of locally compact abelian groups. I
• The classification of hypersmooth Borel equivalence relations
• On Euclidean Local Groups Satisfying Certain Conditions
• Spaces With a Compact Lie Group of Transformations
• Homology
• The definable content of homological invariants. II: Čech cohomology and homotopy classification

Related Items (1)

The definable content of homological invariants. I: \( \mathrm{Ext}\) and \(\lim^1\)

This page was built for publication: (Looking for) the heart of abelian Polish groups

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6608028)