On 3-Manifolds with Finite Solvable Fundamental Groups.
On certain homotopy actions of general linear groups on iterated products
The -fold product of an arbitrary space usually supports only the obvious permutation action of the symmetric group . However, if is a -complete, homotopy associative, homotopy commutative -space one can define a homotopy action of on . In various cases, e.g. if multiplication by is null homotopic then we get a homotopy action of for some . After one suspension this allows one to split using idempotents of which can be lifted to . In fact all of this is possible if is an -space...
On finite subgroups of groups of type VF.
On infinite induced crossed modules and the homotopy 2-type of mapping cones.
On polynomial coverings and their classification.
On the Farrell cohomology of mapping class groups.
On the homotopy groups of a finite dimensional space.
On the homotopy inverse limits of transfer maps.
On the Homotopy Type of Classifying Spaces.
On the K-theory of the classifying space of a discrete group.
On the K-theory of the classifying space of a discrete group (Erratum).
Orbit spaces, Quillen's Theorem A and Minami's formula for compact Lie groups
Let G be a compact Lie group. We present a criterion for the orbit spaces of two G-spaces to be homotopy equivalent and use it to obtain a quick proof of Webb’s conjecture for compact Lie groups. We establish two Minami type formulae which present the p-localised spectrum as an alternating sum of p-localised spectra for subgroups H of G. The subgroups H are calculated from the collections of the non-trivial elementary abelian p-subgroups of G and the non-trivial p-radical subgroups of G. We...