The geometric realization of Wall obstructions by nilpotent and simple spaces

DOI10.1017/S0305004100056656zbMath0435.55002MaRDI QIDQ3874955

Guido Mislin

Publication date: 1980

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

cyclic groupmetacyclic groupfinite, nilpotent groupset of finiteness obstructions for finitely dominated, nilpotent spaces

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Chain complexes (category-theoretic aspects), dg categories (18G35) Chain complexes in algebraic topology (55U15) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

Related Items (3)

Existence of finitely dominated \(CW\)-complexes with \(G_ 1(X)=\pi_ 1(X)\) and non-vanishing finiteness obstruction ⋮ Homology and Cell Structure of Nilpotent Spaces ⋮ The finiteness obstructions for nilpotent spaces lie in \(D(Z\pi)\)

Cites Work

• Modules over finite groups
• Periodic resolutions for finite groups
• Finitely dominated nilpotent spaces
• Groups with cyclic Sylow subgroups and finiteness conditions for certain complexes
• Finiteness obstruction for nilpotent spaces
• Locally free classgroups of groups of prime power order
• The finiteness obstructions for nilpotent spaces lie in \(D(Z\pi)\)
• Finiteness conditions for CW-complexes. I, II.

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