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arXiv 2003-03-03 0 views

The bar construction of an algebra as an E-infinite Hopf algebra

Fresse, Benoit

Original · EN

We prove that the bar construction of an E∞ algebra forms an E∞ algebra. To be more precise, we provide the bar construction of an algebra over the surjection operad with the structure of a Hopf algebra over the Barratt-Eccles operad. (The surjection operad and the Barratt-Eccles operad are classical E∞ operads.)

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