Michel, Nicolas
Parametrized K-theory
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http://infoscience.epfl.ch/record/185104/files/Michel_KTheory.pdf
In nature, one observes that a K-theory of an object is defined in two steps. First a “structured” category is associated to the object. Second, a K-theory machine is applied to the latter category that produces an infinite loop space. We develop a general framework that deals with the first step of this process. The K-theory of an object is defined via a category of “locally trivial” objects with respect to a pretopology. We study conditions ensuring an exact structure on such categories. We also consider morphisms in K-theory that such contexts naturally provide. We end by defining various K-theories of schemes and morphisms between them.
2013-03-19T17:09:20Z
http://infoscience.epfl.ch/record/185104
http://infoscience.epfl.ch/record/185104
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