Chain homotopy projections

DOI10.1016/0021-8693(89)90202-0zbMath0671.18005OpenAlexW1970736147MaRDI QIDQ1119733

Wolfgang Lück, Andrew Ranicki

Publication date: 1989

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90202-0

zbMATH Keywords

finite CW-complexchain homotopyfinitely generated complex of free modulesprojection onto a subcomplex of projective modules

Mathematics Subject Classification ID

Projectives and injectives (category-theoretic aspects) (18G05) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Wall finiteness obstruction for CW-complexes (57Q12)

Related Items

Controlled \(K\)-theory, Blanchfield and Seifert algebra in high-dimensional boundary link theory. I: Algebraic \(K\)-theory, Lagrangian homology spheres in \((A_{m})\) Milnor fibres via \(\mathbb C^{\ast}\)-equivariant \(A_{\infty }\)-modules, The Bass-Heller-Swan formula for the equivariant topological Whitehead group, Splitting homotopy idempotents. II

Cites Work

• Splitting homotopy idempotents. II
• The algebraic theory of torsion. II: Products
• Jordan normal form projections
• Counting homotopy types of manifolds
• The Whitehead group of a polynomial extension
• Homotopy Idempotents on Finite-Dimensional Complexes Split
• The algebraic theory of finiteness obstruction.
• The transfer maps induced in the algebraic $K_0$- and $K_1$-groups by a fibration I.
• Algebraic \(K\)-theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item