Geodesic
Convergence of Voevodsky's slice tower
Documenta mathematica, Tome 18 (2013), pp. 907-941.

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

Summary: We consider Voevodsky's slice tower for a finite spectrum $\sE$ in the motivic stable homotopy category over a perfect field $k$. In case $k$ has finite cohomological dimension, we show that the slice tower converges, in that the induced filtration on the bi-graded homotopy sheaves $\Pi_{a,b}f_n\sE$ is finite, exhaustive and separated at each stalk (after inverting the exponential characteristic of $k$). This partially verifies a conjecture of Voevodsky.
Classification : 14F42, 55P42
Keywords: Morel-Voevodsky stable homotopy category, slice filtration, motivic homotopy theory 
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     author = {Levine, Marc},
     title = {Convergence of {Voevodsky's} slice tower},
     journal = {Documenta mathematica},
     pages = {907--941},
     publisher = {mathdoc},
     volume = {18},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2013__18__a22/}
}
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Levine, Marc. Convergence of Voevodsky's slice tower. Documenta mathematica, Tome 18 (2013), pp. 907-941. http://geodesic.mathdoc.fr/item/DOCMA_2013__18__a22/