jats:titleAbstract</jats:title>jats:pWe consider two categorifications of the cohomology of a topological spacejats:italicX</jats:italic>by taking coefficients in the category of differential graded categories. We consider both derived global sections of a constant presheaf and singular cohomology and find the resulting dg-categories are quasi-equivalent and moreover quasi-equivalent to representations in perfect complexes of chains on the loop space ofjats:italicX</jats:italic>.</jats:p>