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Two-Categorical Bundles and Their Classifying Spaces
Nils. A. Baas, Marcel Bokstedt, Tore August Kro
For a 2-category 2C we associate a notion of a principal 2C-bundle. In case of the 2-category of 2-vector spaces in the sense of M.M. Kapranov and V.A. Voevodsky this gives the the…
An alternative approach to homotopy operations
Marcel Bokstedt, Iver Ottosen
We give a particular choice of the higher Eilenberg-MacLane maps by a recursive formula.This choice leads to a simple description of the homotopy operations for simplicial Z/2-alge…
A splitting result for the free loop space of spheres and projective spaces
Marcel Bokstedt, Iver Ottosen
Let X be a 1-connected compact space such that the algebra H*(X;Z/2) is generated by one single element. We compute the cohomology of the free loop space H*(LX;Z/2) including the S…
A spectral sequence for string cohomology
Marcel Bokstedt, Iver Ottosen
Let X be a 1-connected space with free loop space LX. We introduce two spectral sequences converging towards H^*(LX;Z/p) and H^*((LX)_hT;Z/p). The E2-terms are certain non Abelian…