@article{Michel:185104,
title = {Parametrized K-theory},
author = {Michel, Nicolas},
journal = {Journal of K-theory},
year = {2013},
abstract = {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.},
url = {http://infoscience.epfl.ch/record/185104},
}