Amenable category of three-manifolds

DOI10.2140/agt.2013.13.905zbMath1348.55006OpenAlexW2072865509MaRDI QIDQ1948302

Francisco González-Acuña, José Carlos Gómez Larrañaga, Wolfgang Heil

Publication date: 3 May 2013

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/agt.2013.13.905

zbMATH Keywords

virtually solvable groupsamenable groupsLusternik-Schnirelmann category

Mathematics Subject Classification ID

Related Items (7)

On the simplicial volume and the Euler characteristic of (aspherical) manifolds ⋮ Amenable category and complexity ⋮ Amenable covers of right‐angled Artin groups ⋮ Three-Dimensional Alexandrov Spaces: A Survey ⋮ Categorical group invariants of 3-manifolds ⋮ Old and new categorical invariants of manifolds ⋮ On the monotonicity of amenable category

Cites Work

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• Finite group actions on 3-manifolds
• Manifolds with \(S ^{1}\)-category 2 have cyclic fundamental groups
• Volume and bounded cohomology
• Splitting the PL involutions of nonprime 3-manifolds
• Orientation-reversing PL involutions on orientable torus bundles over \(S^ 1\).
• Lusternik-Schnirelmann category of 3-manifolds
• Topologie dreidimensionaler gefaserter Räume
• Geometrisation of 3-manifolds
• Fundamental groups of manifolds with \(S^1\)-category 2
• Varieties of groups and three-manifolds
• Involutions with Isolated Fixed Points on Orientable 3-Dimensional Flat Space Forms
• Projective Planes in 3-Manifolds^†
• Imbeddings of three-manifold groups
• The Seifert Fiber Space Conjecture and Torus Theorem for Nonorientable 3-Manifolds
• Invariants of the Lusternik-Schnirelmann Type and the Topology of Critical Sets
• Solvable Fundamental Groups of Compact 3-Manifolds

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