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David Michael Roberts
The universal simplicial bundle is a simplicial group view print
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| Published: |
February 12, 2013 |
| Keywords: |
Simplicial group, universal bundle, Lawvere theory |
| Subject: |
18G30 (Primary) 55R65, 55R15 (Secondary) |
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Abstract
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.
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| Acknowledgements
The author is supported by the Australian Research Council (grant number DP120100106)
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| Author information
School of Mathematical Sciences, University of Adelaide, Adelaide, SA 5005, Australia
david.roberts@adelaide.edu.au
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