W is a monad

Mathematics – Category Theory

Scientific paper

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5 pages. Main result dates from 2007

Scientific paper

The classical universal bundle functor W:sGrp(C) \to sSet(C) for simplicial
groups in a category C with finite products lifts to a monad on sGrp(C). This
result extends to simplicial algebras for any Lawvere theory containing that of
groups.

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