# The Eckmann–Hilton argument and higher operads

@article{Batanin2002TheEA, title={The Eckmann–Hilton argument and higher operads}, author={Michael Batanin}, journal={Advances in Mathematics}, year={2002}, volume={217}, pages={334-385} }

Abstract The classical Eckmann–Hilton argument shows that two monoid structures on a set, such that one is a homomorphism for the other, coincide and, moreover, the resulting monoid is commutative. This argument immediately gives a proof of the commutativity of the higher homotopy groups. A reformulation of this argument in the language of higher categories is: suppose we have a one object, one arrow 2-category, then its Hom-set is a commutative monoid. A similar argument due to A. Joyal and R… CONTINUE READING

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