Mathematical Proceedings of the Cambridge Philosophical Society



Localizations in motivic homotopy theory


JENS HORNBOSTEL a1
a1 NWF I – Mathematik, Universität Regensburg, 93040 Regensburg, Germany. e-mail: jens.hornbostel@mathematik.uni-regensburg.de

Article author query
hornbostel j   [Google Scholar] 
 

Abstract

We study different localization techniques both for classical and motivic spectra. In particular, we show that the motivic model structures of Morel and Voevodsky are cellular in the sense of Hirschhorn and thus may be further localized. As a possible application, we discuss a motivic version of the chromatic filtration and the chromatic spectral sequence.

(Published Online January 11 2006)
(Received October 18 2004)