0. INTRODUCTION THE THEORY of manifold approximate fibrations is the correct bundle theory for topological manifolds and singular spaces. This theory plays the same role in the topological category as fiber bundle theory plays in the differentiable category and as block bundle theory plays in the piecewise linear category. For example, neighborhoods in… (More)
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We define and study the Burnside quotient Green ring of a Mackey functor, introduced in our MSRI preprint . Some refinements of Dress induction theory are presented, together with applications to computation results for K-theory and L-theory of finite and infinite groups.
For any finite group G, we define a bifunctor from the Dress category of finite G-sets to the conjugation biset category, whose objects are subgroups of G, and whose morphisms are generated by certain bifree bisets. Any additive functor from the conjugation biset category to abelian groups yields a Mackey functor by composition. We characterize the Mackey… (More)
The natural transformation Ξ from L–theory to the Tate cohomology of Z/2 acting on K–theory (constructed in [WW2] and [WW3]) commutes with external products. Corollary: The Tate cohomology of Z/2 acting on the K–theory of any ring with involution is a generalized Eilenberg–MacLane spectrum, and it is 4–periodic. 0. Introduction Categories with cofibrations… (More)
Political parties have traditionally served their stakeholders through the traditional media of radio, television and the print media. However, with the advent of the Internet, there has been a paradigm shift from the orthodox method of information provision and communication to the use of web sites in serving stakeholders. This phenomenon provides a new… (More)