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

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dc.creatorFresse, Benoit
dc.date2003-03-03
dc.date2003-07-25
dc.date.accessioned2026-07-07T04:55:43Z
dc.date.available2026-07-07T04:55:43Z
dc.descriptionWe prove that the bar construction of an $E_\infty$ algebra forms an $E_\infty$ 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 $E_\infty$ operads.)
dc.description6 pages. Minor changes in the revised version
dc.identifierhttps://arxiv.org/abs/math/0303027
dc.identifierhttp://arxiv.org/abs/math/0303027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66678
dc.subjectAlgebraic Topology
dc.subject55P48; 16W30; 55P35
dc.titleThe bar construction of an algebra as an E-infinite Hopf algebra
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