A Short Proof of a Theorem of Kan and Thurston

DOI10.1112/blms/13.4.325zbMath0467.55011OpenAlexW2036475069MaRDI QIDQ3920312

C. R. F. Maunder

Publication date: 1981

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/13.4.325

zbMATH Keywords

Eilenberg-MacLane spaceacyclic mapaspherical spaceacyclic group

Mathematics Subject Classification ID

Homotopy theory (55P99) Eilenberg-Mac Lane spaces (55P20)

Related Items (11)

NEW INVARIANTS FOR GROUPS ⋮ Approximating \(L^2\)-invariants and homology growth ⋮ On the simplicial volume and the Euler characteristic of (aspherical) manifolds ⋮ Every finite complex is the classifying space for proper bundles of a virtual Poincaré duality group ⋮ Shape aspherical compacta–applications of a theorem of Kan and Thurston to cohomological dimension and shape theories ⋮ A finitely generated group that does not satisfy the generalized Burghelea Conjecture ⋮ Atiyah's \(L^2\)-index theorem, Kan-Thurston construction, and weak Bass conjecture. ⋮ Manifolds that fail to be co-dimension 2 fibrators necessarily cover themselves ⋮ 2-groups and approximate fibrations ⋮ Every finite complex has the homology of some \(\mathrm{CAT}(0)\) cubical duality group ⋮ Every finite complex has the homology of a duality group

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