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Homotopy theory of s-bimodules, naive ring spectra and stable model categories

dc.contributor.advisorSchwede, Stefan
dc.contributor.authorWeiner, Arne
dc.date.accessioned2020-04-15T11:32:31Z
dc.date.available2020-04-15T11:32:31Z
dc.date.issued01.02.2010
dc.identifier.urihttp://hdl.handle.net/20.500.11811/4516
dc.description.abstractWe study the homotopy theory of S-bimodules which essentially sequential spectra which admit a left and right action of the sphere specturm in a compatible way. The resulting category has non-symmetric monoidal product. This enables us to consider non-commutative monoids in S-bimodules which we call naive ring spectra for their extremely simple structure. As application we construct naive endomorphism ring spectra for objects in a stable model category. We then prove that any compactly generated stable model category is Quillen equivalent to a category of modules over a naive ring spectrum and hence to a category of modules over a symmetric ring spectrum.
dc.language.isoeng
dc.rightsIn Copyright
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectspectrum
dc.subjecthomotopy
dc.subjectmodel category
dc.subjectstable homotopy
dc.subjectring spectrum
dc.subjectsymmetric spectrum
dc.subjectsymmetric ring spectrum
dc.subjectS-bimodule
dc.subjectnaive ring spectrum
dc.subject.ddc510 Mathematik
dc.titleHomotopy theory of s-bimodules, naive ring spectra and stable model categories
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-20182
ulbbn.pubtypeErstveröffentlichung
ulbbnediss.affiliation.nameRheinische Friedrich-Wilhelms-Universität Bonn
ulbbnediss.affiliation.locationBonn
ulbbnediss.thesis.levelDissertation
ulbbnediss.dissID2018
ulbbnediss.date.accepted06.11.2009
ulbbnediss.fakultaetMathematisch-Naturwissenschaftliche Fakultät
dc.contributor.coRefereeRöndigs, Oliver


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