Generalized Snaith Splittings
Generalized Snaith Splittings
dc.contributor.advisor | Bödigheimer, Carl-Friedrich | |
dc.contributor.author | Wang, Juan | |
dc.date.accessioned | 2020-04-13T21:48:51Z | |
dc.date.available | 2020-04-13T21:48:51Z | |
dc.date.issued | 05.02.2009 | |
dc.identifier.uri | https://hdl.handle.net/20.500.11811/4031 | |
dc.description.abstract | A Segal Γ-space A gives a homotopy functor A(X) and a connective homology theory h*(X;A) = π*(A(X)). The infinite symmetric product SP∞(X) and the configuration space C(R∞;X) ≅ Q(X) are well-known examples of Segal Γ-spaces; the former giving singular homology H*(X;Z) and the latter stable homotopy theory as their homotopy groups. Here we are concerned with another important example, the Segal Γ-space K leading to connective KO-theory: π*K(X) = ̃ko(X). Like the first two examples, such functors A come very often with a filtration An(X) which splits after applying another suitable homotopy functor, perhaps even a Segal Γ-space B; in the first two examples one can take B = A and obtain the well-known Dold-Puppe splitting of SP∞(X) resp. the Snaith splitting of Q(X). Our main result is a splitting of K(X) using the functor B(X+) ≅ Ω∞-1(MO∧X+) representing unoriented cobordism, namely B(K(X)+) ≅ B(V ∞n=o Kn(X)/Kn-1(X)). | en |
dc.language.iso | eng | |
dc.rights | In Copyright | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject.ddc | 510 Mathematik | |
dc.title | Generalized Snaith Splittings | |
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-16683 | |
ulbbn.pubtype | Erstveröffentlichung | |
ulbbnediss.affiliation.name | Rheinische Friedrich-Wilhelms-Universität Bonn | |
ulbbnediss.affiliation.location | Bonn | |
ulbbnediss.thesis.level | Dissertation | |
ulbbnediss.dissID | 1668 | |
ulbbnediss.date.accepted | 19.12.2008 | |
ulbbnediss.institute | Mathematisch-Naturwissenschaftliche Fakultät : Fachgruppe Mathematik / Mathematisches Institut | |
ulbbnediss.fakultaet | Mathematisch-Naturwissenschaftliche Fakultät | |
dc.contributor.coReferee | Tillmann, Ulrike |
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