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Motivic cell structures

2003/10/31 by Daniel Dugger, Daniel C. Isaksen · 2 citations
Mathematics · #math.AT #math.AG #math.KT #msc:55U35 #msc:14F42

paper · pdf · doi:10.2140/agt.2005.5.615

published as Algebr. Geom. Topol. 5 (2005) 615-652 · Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-26.abs.html

arxiv created 2005/07/16 · arxiv updated 2014/09/30

Abstract

An object in motivic homotopy theory is called cellular if it can be built out of motivic spheres using homotopy colimit constructions. We explore some examples and consequences of cellularity. We explain why the algebraic K-theory and algebraic cobordism spectra are both cellular, and prove some Kunneth theorems for cellular objects.

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