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Localizations in motivic homotopy theory

Published online by Cambridge University Press:  11 January 2006

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

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 140 , Issue 1 , January 2006 , pp. 95 - 114
Copyright
2006 Cambridge Philosophical Society

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