Universal Toda brackets of ring spectra
Universal Toda brackets of ring spectra
![Open Access](/xmlui/themes/Fakultaeten//images/32px-Open_Access_logo_PLoS_white.svg.png)
dc.contributor.advisor | Schwede, Stefan | |
dc.contributor.author | Sagave, Steffen | |
dc.date.accessioned | 2020-04-08T22:48:42Z | |
dc.date.available | 2020-04-08T22:48:42Z | |
dc.date.issued | 2006 | |
dc.identifier.uri | https://hdl.handle.net/20.500.11811/2639 | |
dc.description.abstract | We construct and examine the universal Toda bracket of a highly structured ring spectrum R. This invariant of R is a cohomology class in the Mac Lane cohomology of the graded ring of homotopy groups of R which carries information about R and the category of R-module spectra. It determines for example all triple Toda brackets of R and the first obstruction to realizing a module over the homotopy groups of R by an R-module spectrum. For periodic ring spectra, we study the corresponding theory of higher universal Toda brackets. The real and complex K-theory spectra serve as our main examples. | |
dc.language.iso | eng | |
dc.rights | In Copyright | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject | stabile Homotopietheorie | |
dc.subject | Massey-Produkte | |
dc.subject | Modellkategorien | |
dc.subject | stable homotopy theory | |
dc.subject | Massey products | |
dc.subject | model categories | |
dc.subject.ddc | 510 Mathematik | |
dc.title | Universal Toda brackets of ring spectra | |
dc.type | Dissertation oder Habilitation | |
dc.publisher.name | Universitäts- und Landesbibliothek Bonn | |
dc.publisher.location | Bonn | |
dc.rights.accessRights | openAccess | |
dc.identifier.urn | https://nbn-resolving.org/urn:nbn:de:hbz:5N-08082 | |
ulbbn.pubtype | Erstveröffentlichung | |
ulbbnediss.affiliation.name | Rheinische Friedrich-Wilhelms-Universität Bonn | |
ulbbnediss.affiliation.location | Bonn | |
ulbbnediss.thesis.level | Dissertation | |
ulbbnediss.dissID | 808 | |
ulbbnediss.date.accepted | 30.06.2006 | |
ulbbnediss.fakultaet | Mathematisch-Naturwissenschaftliche Fakultät | |
dc.contributor.coReferee | Richter, Birgit |
Dateien zu dieser Ressource
Das Dokument erscheint in:
-
E-Dissertationen (4118)