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dc.contributor.authorNguyen, The Cuong
dc.date.accessioned2017-09-07T08:13:35Z
dc.date.available2017-09-07T08:13:35Z
dc.date.issued2017-07-04
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1305
dc.descriptionOWLF 2016en_US
dc.description.abstractResolving objects in an abelian category by injective (projective) resolutions is a fundamental problem in mathematics, and this article aims at introducing a particular solution called “Pseudo-hyperresolutions”. This method originates in the category of unstable modules to study the minimal resolution of the reduced singular cohomology of spheres. In particular, for all integers $n \geq 0$, we can describe a large range of the minimal injective resolution of the sphere $S^n$ based on the Bockstein operation of the Steenrod algebra. Moreover, many classical constructions in algebraic topology, such as the algebraic EHP sequence or the Lambda algebra can be recovered using the Pseudo-hyperresolution method. A particular connection between spheres and the projective spaces is also established. Despite its origin, Pseudo-hyperresolutions generalize to all abelian categories. In particular, many classical construction of injective resolutions of strict polynomial functors can be reunified in view of Pseudo-hyperresolutions. As a consequence, we recover the global dimension of the category of homogeneous strict polynomial functors of finite degree as well as the Mac Lane cohomology of finite fields.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2017,17
dc.titleThe Pseudo-Hyperresolution and Applicationsen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2017-17
local.scientificprogramOWLF 2016en_US
local.series.idOWP-2017-17
dc.identifier.urnurn:nbn:de:101:1-20170807736
dc.identifier.ppn1654051098


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