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Up-to-Homotopy Monoids

Tom Leinster
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Abstract

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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BibTeXRIS

Tom Leinster. 2000-02-22. Up-to-Homotopy Monoids. https://arxiv.org/abs/math/9912084

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