A correction to a paper of H. King.
A Euclidean geometric invariant of framed (Un)Knots in manifolds.
A general approximation theorem for Hilbert cube manifolds
A non-𝒵-compactifiable polyhedron whose product with the Hilbert cube is 𝒵-compactifiable
We construct a locally compact 2-dimensional polyhedron X which does not admit a 𝒵-compactification, but which becomes 𝒵-compactifiable upon crossing with the Hilbert cube. This answers a long-standing question posed by Chapman and Siebenmann in 1976 and repeated in the 1976, 1979 and 1990 versions of Open Problems in Infinite-Dimensional Topology. Our solution corrects an error in the 1990 problem list.
A relationship between the non-acyclic Reidemeister torsion and a zero of the acyclic Reidemeister torsion
We show a relationship between the non-acyclic Reidemeister torsion and a zero of the acyclic Reidemeister torsion for a -regular or -representation of a knot group. Then we give a method to calculate the non-acyclic Reidemeister torsion of a knot exterior. We calculate a new example and investigate the behavior of the non-acyclic Reidemeister torsion associated to a -bridge knot and -representations of its knot group.
A Semigroup of Simple Homotopy Types.
A Splitting Theorem for Manifolds.
A topological collapse number for all spaces
Algebraic properties of decorated splitting obstruction groups
In questo articolo si riassumono le definizioni e le principali proprietà dei gruppi di ostruzione con decorazione di tipo LS e LP. Si stabiliscono nuove relazioni fra questi gruppi e si descrivono le proprietà delle mappe naturali fra differenti gruppi con decorazione. Si costruiscono varie successioni spettrali, contenenti questi gruppi con decorazione, e si studiano la loro connessione con le successioni spettrali in -teoria per certe estensioni quadratiche di antistrutture. Infine, si introduce...
Algebraic Torsion for Infinite Simple Homotopy Types
An Algebraic Model for G-Simple Homotopy Types.
An introduction to the abelian Reidemeister torsion of three-dimensional manifolds
These notes accompany some lectures given at the autumn school “Tresses in Pau” in October 2009. The abelian Reidemeister torsion for -manifolds, and its refinements by Turaev, are introduced. Some applications, including relations between the Reidemeister torsion and other classical invariants, are surveyed.
Analytic and Reidemeister Torsion for Representation in Finite Type Hilbert Modules.
Äquivariante Whiteheadtorsion.
Cancellation of lattices and finite two-complexes.
Circle-valued Morse theory and Reidemeister torsion.
Contributions à la théorie du type simple d'homotopie.
Correction to: SK1 for Finite Group Rings: I.
Decomposing four-manifolds up to homotopy type.
Die Unterscheidung von Homotopietyp und einfachem Homotopietyp bei zweidimensionalen Komplexen.