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arxiv: math/9912084 · v2 · submitted 1999-12-10 · 🧮 math.QA · math.AT· math.CT

Up-to-Homotopy Monoids

Tom Leinster This is my paper
classification 🧮 math.QA math.ATmath.CT
keywords homotopymonoidoperadssomealgebrasanalysisassociativityassume
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Informally, a homotopy monoid is a monoid-like structure in which properties such as associativity only hold `up to homotopy' in some consistent way. This short paper comprises a rigorous definition of homotopy monoid and a brief analysis of some examples. It is a much-abbreviated version of the paper `Homotopy Algebras for Operads' (math.QA/0002180), and does not assume any knowledge of operads.

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