Finiteness properties of classifying spaces of proper \(\Gamma\)-actions

DOI10.1016/0022-4049(86)90097-6zbMath0597.57022OpenAlexW2037634871MaRDI QIDQ1079241

Tadeusz Koźniewski, Frank Connolly

Publication date: 1986

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(86)90097-6

zbMATH Keywords

classifying spacesvirtual cohomological dimensionisotropy groupsequivariant homotopy typeclassifying complexequivariant cell complexesfinite cohomological dimensionfinite-dominatedSP(4, \({\mathbb{Z}})\)

Mathematics Subject Classification ID

Discontinuous groups of transformations (57S30) Homological dimension (category-theoretic aspects) (18G20) Equivariant homotopy theory in algebraic topology (55P91) Wall finiteness obstruction for CW-complexes (57Q12)

Related Items (7)

Multiple complexes and gaps in Farrell cohomology ⋮ Controlled algebraic \(K\)-theory of integral group ring of \(SL(3,\mathbb{Z})\) ⋮ Euler classes and Bredon cohomology for groups with restricted families of finite subgroups. ⋮ Rigidity and crystallographic groups. I ⋮ Rigidity of Coxeter groups ⋮ Subgroup posets, Bredon cohomology and equivariant Euler characteristics ⋮ Rigidity Theorems for Right Angled Reflection Groups

Cites Work

• On the Lusternik-Schnirelmann category of abstract groups
• Modules over finite groups
• Torsion invariants and actions of finite groups
• Deformation retracts with lowest possible dimension of arithmetic quotients of self-adjoint homogeneous cones
• A remark on subgroups of infinite index in Poincaré duality groups
• The cohomology of \(SL_3(Z)\)
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• Finiteness conditions for CW-complexes. I, II.
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