Free -categories.
Free actions on products of spheres: The rational case.
Free Quillen factorization systems.
Freudenthal-Invariante.
Function spaces and Hurwitz-Radon numbers.
Function spaces and shape theories
The purpose of this paper is to provide a geometric explanation of strong shape theory and to give a fairly simple way of introducing the strong shape category formally. Generally speaking, it is useful to introduce a shape theory as a localization at some class of “equivalences”. We follow this principle and we extend the standard shape category Sh(HoTop) to Sh(pro-HoTop) by localizing pro-HoTop at shape equivalences. Similarly, we extend the strong shape category of Edwards-Hastings to sSh(pro-Top)...
Functors between homotopy theories
Fundamental Groups, ...-groups and Codimension two Submanifolds
Galois Action on Algebraic Matrix Groups, Chern Classes, and the Euler Class.
Galois theory and Lubin-Tate cochains on classifying spaces
We consider brave new cochain extensions F(BG +,R) → F(EG +,R), where R is either a Lubin-Tate spectrum E n or the related 2-periodic Morava K-theory K n, and G is a finite group. When R is an Eilenberg-Mac Lane spectrum, in some good cases such an extension is a G-Galois extension in the sense of John Rognes, but not always faithful. We prove that for E n and K n these extensions are always faithful in the K n local category. However, for a cyclic p-group , the cochain extension is not a Galois...
Ganea fibrations. (Fibrations à la Ganea.)
G-ANR's with homotopy trivial fixed point sets
Let G be a compact group and X a G-ANR. Then X is a G-AR iff the H-fixed point set is homotopy trivial for each closed subgroup H ⊂ G.
G-CW-Surgery and K...(ZG).
Generalised Swan modules and the D(2) problem.
Generalized Adams completion
Generalized Brown representability in homotopy categories.
Generalized Brown representability in homotopy categories: erratum.
Generalized classes of groups, C-nilpotent spaces and "The Hurewicz theorem".
Generalized gradient flow and singularities of the Riemannian distance function
Significant information about the topology of a bounded domain of a Riemannian manifold is encoded into the properties of the distance, , from the boundary of . We discuss recent results showing the invariance of the singular set of the distance function with respect to the generalized gradient flow of , as well as applications to homotopy equivalence.
Generalized homotopy theory.