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math.AT2001
Circle valued Morse theory and Novikov homology
Andrew Ranicki
An introduction to circle valued Morse theory and Novikov homology, from an algebraic point of view.
math.AT2001
The structure set of an arbitrary space, the algebraic surgery exact sequence and the total surgery obstruction
Andrew Ranicki
An introduction to the applications of algebraic surgery to the structure theory of high-dimensional topological manifolds.
math.AT2001
Foundations of algebraic surgery
Andrew Ranicki
An elementary introduction to the principles of algebraic surgery.
math.AT2001
Rigidity and gluing for Morse and Novikov complexes
Octav Cornea, Andrew Ranicki
We obtain rigidity and gluing results for the Morse complex of a real-valued Morse function as well as for the Novikov complex of a circle-valued Morse function. A rigidity result…