185104
20190316235616.0
ARTICLE
Parametrized K-theory
2013
2013
Journal Articles
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.
K-theory – Local triviality – Exact categories – Monoidal fibred categories – Fibred Grothendieck sites – Modules – Sheaves of modules.
Michel, Nicolas
114710
243125
Journal of K-theory
Preprint
543587
Preprint
http://infoscience.epfl.ch/record/185104/files/Michel_KTheory.pdf
UPHESS
252139
U10968
oai:infoscience.tind.io:185104
article
SV
GLOBAL_SET
105396
EPFL-ARTICLE-185104
OTHER
SUBMITTED
NON-REVIEWED
ARTICLE