Rognes and Weibel used Voevodskyâ€™s work on the Milnor conjecture to deduce the strong Dwyer-Friedlander form of the Lichtenbaum-Quillen conjecture at the prime 2. In consequence (the 2-completion of)â€¦ (More)

The main results of this article are certain connections between braid groups and the homotopy groups of the 2-sphere. The connections are given in terms of Brunnian braids over the disk and over theâ€¦ (More)

The past decade or so has seen considerable development of the idea, originating with Kan and Thurston [12], of modelling a given sequence of abelian groups by the homology of another group. At theâ€¦ (More)

The Bass trace conjectures are placed in the setting of homotopy idempotent selfmaps of manifolds. For the strong conjecture, this is achieved via a formulation of Geoghegan. The weaker form of theâ€¦ (More)

We completely determine the 2-primary torsion subgroups of the hermitian K-groups of rings of 2-integers in totally real 2-regular number fields. The result is almost periodic with period 8.â€¦ (More)

We exhibit a two-dimensional, acyclic, Eilenbergâ€“Mac Lane space W such that, for every space X, the plus-construction X+ with respect to the largest perfect subgroup of Ï€1(X) coincides, up toâ€¦ (More)

It has long been known that the integral homology of a non-trivial finite group must be non-zero in infinitely many dimensions [15]. Recent work on the Sullivan Conjecture in homotopy theory has madeâ€¦ (More)

Although originally devised to define the higher algebraic K-theory of rings [ 1, 7, 161, the plus-construction has quickly established its usefulness in such diverse areas as stable homotopy theoryâ€¦ (More)

We discuss two classes of acyclic groups that are commutator subgroups of finitely presented groups with infinite cyclic abelianization. The first is algebraic and includes groups first exhibited byâ€¦ (More)