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math.AT2000
Algebraic Poincare cobordism
Andrew Ranicki
This paper is an introduction to the use of the cobordism of chain complexes with Poincaré duality in surgery theory. It is a companion to the author's paper "An introduction to al…
math.AT2000
An introduction to algebraic surgery
Andrew Ranicki
Browder-Novikov-Sullivan-Wall surgery theory investigates the homotopy types of manifolds, using a combination of algebra and topology. It is the aim of these notes to provide an i…
math.AT2000
A survey of Wall's finiteness obstruction
Steve Ferry, Andrew Ranicki
Wall's finiteness obstruction is an algebraic K-theory invariant which decides if a finitely dominated space is homotopy equivalent to a finite CW complex. The object of this surve…