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1	Schwache Modellkategorien, Kan-Erweiterungen und Modellstrukturen auf Diagrammkategorien Yang, Xuan 06 June 2011 (has links) Es werden die Homotopiekategorie einer schwachen Thomason-Modellkategorie sowie schwache Thomason-Modellstrukturen auf Diagrammkategorien konstruiert und Kan-Erweiterungen beliebiger Funktoren zwischen Lokalisatoren untersucht. Modellkategorie Kan-Erweiterung 31.27 - Kategorientheorie 18-00 - General reference works ddc:510
2	Abstract Motivic Homotopy Theory Arndt, Peter 10 February 2017 (has links) We explore motivic homotopy theory over deeper bases than the spectrum of the integers: Starting from a commutative group object in a cartesian closed presentable infinity category, replacing the usual multiplicative group scheme in motivic spaces, we construct projective spaces, and show that infinite dimensional projective space is the classifying space of the group object. After passage to the stabilization, we construct a Snaith spectrum, calculate the cohomology represented by it for projective spaces and on its rationalization produce Adams operations and a splitting into summands of their eigenspaces. motives homotopy theory higher categories K-theory 31.61 - Algebraische Topologie 31.27 - Kategorientheorie 19-02 - Research exposition 55-02 - Research exposition ddc:510