Bisimplicial Sets and the Group-Completion Theorem
Chapter
Abstract
We will present a Quillen model structure on the category of bisimplicial sets, and use it to study actions by homology equivalences of simplicial categories on simplicial spaces. The group completion theorem, which relates the homology of a topological monoid to the homology of the loopspace of its classifying space, will be derived as a consequence.
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© Kluwer Academic Publishers 1989