Are operads algebraic theories?
Category Theory
2010-02-04 v1 Algebraic Topology
Quantum Algebra
Abstract
I exhibit a pair of non-symmetric operads that, although not themselves isomorphic, induce isomorphic monads. The existence of such a pair implies that if `algebraic theory' is understood as meaning `monad', operads cannot be regarded as algebraic theories of a special kind.
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Cite
@article{arxiv.math/0404016,
title = {Are operads algebraic theories?},
author = {Tom Leinster},
journal= {arXiv preprint arXiv:math/0404016},
year = {2010}
}
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6 pages