Geodesic
Motivic functors
Documenta mathematica, Tome 8 (2003), pp. 489-525.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The notion of motivic functors refers to a motivic homotopy theoretic analog of continuous functors. In this paper we lay the foundations for a homotopical study of these functors. Of particular interest is a model structure suitable for studying motivic functors which preserve motivic weak equivalences and a model structure suitable for motivic stable homotopy theory. The latter model is Quillen equivalent to the category of motivic symmetric spectra. There is a symmetric monoidal smash product of motivic functors, and all model structures constructed are compatible with the smash product in the sense that we can do homotopical algebra on the various categories of modules and algebras. In particular, motivic cohomology is naturally described as a commutative ring in the category of motivic functors.
Classification : 55P42, 14F42
Keywords: motivic homotopy theory, functors of motivic spaces, motivic cohomology, homotopy functors 
@article{DOCMA_2003__8__a5,
     author = {Dundas, Bj{\o}rn Ian and R\"ondigs, Oliver and {\O}stv{\ae}r, Paul Arne},
     title = {Motivic functors},
     journal = {Documenta mathematica},
     pages = {489--525},
     publisher = {mathdoc},
     volume = {8},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2003__8__a5/}
}
TY  - JOUR
AU  - Dundas, Bjørn Ian
AU  - Röndigs, Oliver
AU  - Østvær, Paul Arne
TI  - Motivic functors
JO  - Documenta mathematica
PY  - 2003
SP  - 489
EP  - 525
VL  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DOCMA_2003__8__a5/
LA  - en
ID  - DOCMA_2003__8__a5
ER  - 
%0 Journal Article
%A Dundas, Bjørn Ian
%A Röndigs, Oliver
%A Østvær, Paul Arne
%T Motivic functors
%J Documenta mathematica
%D 2003
%P 489-525
%V 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DOCMA_2003__8__a5/
%G en
%F DOCMA_2003__8__a5
Dundas, Bjørn Ian; Röndigs, Oliver; Østvær, Paul Arne. Motivic functors. Documenta mathematica, Tome 8 (2003), pp. 489-525. http://geodesic.mathdoc.fr/item/DOCMA_2003__8__a5/