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Operads, Algebras and Modules in Model Categories and Motives

dc.contributor.advisorHarder, Günter
dc.contributor.authorSpitzweck, Markus
dc.date.accessioned2020-04-03T14:49:10Z
dc.date.available2020-04-03T14:49:10Z
dc.date.issued2004
dc.identifier.urihttps://hdl.handle.net/20.500.11811/1732
dc.description.abstractIn the first part of this thesis the homotopy theory of operads, algebras over operads and modules over operad algebras is developed in the context of cofibrantly generated symmetric monoidal model categories. It is shown that under mild hypotheses such categories form so-called semi model categories, a slightly weakened notion of model category. We particularly analize E-infinity operads, E-infinity algebras and modules over E-infinity algebras, generalizing the theory of S-algebras and S-modules.
In the second part we apply this theory to model categories of motivic origin and describe a special construction what we call limit motives (analoguous to limit Hodge structures).
dc.language.isoeng
dc.rightsIn Copyright
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectOperads
dc.subjectModel categories
dc.subjectmotives
dc.subject.ddc510 Mathematik
dc.titleOperads, Algebras and Modules in Model Categories and Motives
dc.typeDissertation oder Habilitation
dc.publisher.nameUniversitäts- und Landesbibliothek Bonn
dc.publisher.locationBonn
dc.rights.accessRightsopenAccess
dc.identifier.urnhttps://nbn-resolving.org/urn:nbn:de:hbz:5n-02410
ulbbn.pubtypeErstveröffentlichung
ulbbnediss.affiliation.nameRheinische Friedrich-Wilhelms-Universität Bonn
ulbbnediss.affiliation.locationBonn
ulbbnediss.thesis.levelDissertation
ulbbnediss.dissID241
ulbbnediss.date.accepted29.08.2003
ulbbnediss.fakultaetMathematisch-Naturwissenschaftliche Fakultät
dc.contributor.coRefereeManin, Yuri I.


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