New York Journal of Mathematics
Volume 19 (2013) 51-60


David Michael Roberts

The universal simplicial bundle is a simplicial group

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Published: February 12, 2013
Keywords: Simplicial group, universal bundle, Lawvere theory
Subject: 18G30 (Primary) 55R65, 55R15 (Secondary)

The universal bundle functor W:sGrp(C) → sC for simplicial groups in a category C with finite products lifts to a monad on sGrp(C) landing in contractible simplicial groups. The construction extends to simplicial algebras for any multisorted Lawvere theory.


The author is supported by the Australian Research Council (grant number DP120100106)

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School of Mathematical Sciences, University of Adelaide, Adelaide, SA 5005, Australia