Up-to-Homotopy Monoids
Quantum Algebra
2009-09-25 v2 Algebraic Topology
Category Theory
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.
Keywords
Cite
@article{arxiv.math/9912084,
title = {Up-to-Homotopy Monoids},
author = {Tom Leinster},
journal= {arXiv preprint arXiv:math/9912084},
year = {2009}
}
Comments
8 pages. Version 2: references added, and phi's changed to xi's