Rigidity in equivariant stable homotopy theory
Rigidity in equivariant stable homotopy theory
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dc.contributor.advisor | Schwede, Stefan | |
dc.contributor.author | Patchkoria, Irakli | |
dc.date.accessioned | 2020-04-18T22:41:49Z | |
dc.date.available | 2020-04-18T22:41:49Z | |
dc.date.issued | 07.08.2013 | |
dc.identifier.uri | https://hdl.handle.net/20.500.11811/5732 | |
dc.description.abstract | For any finite group G, we show that the 2-local G-equivariant stable homotopy category, indexed on a complete G-universe, has a unique equivariant model in the sense of Quillen model categories. This means that the suspension functor, homotopy cofiber sequences and the stable Burnside category determine all "higher order structure'' of the 2-local G-equivariant stable homotopy category, such as the equivariant homotopy types of function G-spaces. The theorem can be seen as an equivariant version of Schwede's rigidity theorem at the prime 2. | |
dc.language.iso | eng | |
dc.rights | In Copyright | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject | Equivariant stable homotopy category | |
dc.subject | model category | |
dc.subject | rigidity | |
dc.subject.ddc | 510 Mathematik | |
dc.title | Rigidity in equivariant stable homotopy theory | |
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-33024 | |
ulbbn.pubtype | Erstveröffentlichung | |
ulbbnediss.affiliation.name | Rheinische Friedrich-Wilhelms-Universität Bonn | |
ulbbnediss.affiliation.location | Bonn | |
ulbbnediss.thesis.level | Dissertation | |
ulbbnediss.dissID | 3302 | |
ulbbnediss.date.accepted | 29.07.2013 | |
ulbbnediss.fakultaet | Mathematisch-Naturwissenschaftliche Fakultät | |
dc.contributor.coReferee | Greenlees, John |
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