3 papers
math.AT2007
Covering Homology
Morten Brun, Gunnar Carlsson, Bjorn Ian Dundas
We introduce the notion of "covering homology" of a commutative ring spectrum with respect to certain families of coverings of topological spaces. The construction of covering homo…
math.KT2007
Excision for K-theory of connective ring spectra
Bjørn Ian Dundas, Harald Øyen Kittang
We extend Geisser and Hesselholt's result on ``bi-relative K-theory'' from discrete rings to connective ring spectra. That is, if is a homotopy cartesian -cube of r…
math.AT2003
Two-vector bundles and forms of elliptic cohomology
Nils A. Baas, Bjørn Ian Dundas, John Rognes
In this paper we define 2-vector bundles as suitable bundles of 2-vector spaces over a base space, and compare the resulting 2-K-theory with the algebraic K-theory spectrum K(V) of…