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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.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…