Controlled K-theory, by Andrew A. Ranicki and Masayuki Yamasaki

The controlled finiteness obstruction and torsion are defined using controlled algebra, giving a self-contained algebraic proof of the theorem of Chapman on the topological invariance of Whitehead torsion and the theorem of West on homotopy finiteness of compact ANRs. See the paper of Anderson, Connolly and Munkholm (nr. 0008) for the comparison of continuously controlled and controlled K-theory.

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