Retractions of H-spaces

dc.creatorHemmi, Yutaka
dc.date2003-03-06
dc.date.accessioned2026-07-07T04:55:50Z
dc.date.available2026-07-07T04:55:50Z
dc.descriptionStasheff showed that if a map between H-spaces is an H-map, then the suspension of the map is extendable to a map between cprojective planes of the H-spaces. Stahseff also proved the converse under the assumption that the multiplication of the target space of the map is homotopy associative. We show by giving an example that the assumption of homotopy associativity of the multiplication of the target space is necessary to show the converse. We also show an analogous fact for maps between higher homotopy associative H-spaces.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0303076
dc.identifierhttp://arxiv.org/abs/math/0303076
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66715
dc.subjectAlgebraic Topology
dc.subject55P45 (Primary) 55R35 (Secondary)
dc.titleRetractions of H-spaces
dc.typetext

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