#### Volume 5, issue 2 (2005)

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Motivic cell structures

### Daniel Dugger and Daniel C Isaksen

Algebraic & Geometric Topology 5 (2005) 615–652
 arXiv: math.AT/0310190
##### 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 Künneth theorems for cellular objects.

##### Keywords
motivic cell structure, homotopy theory, celllular object
Primary: 55U35
Secondary: 14F42