Algebraic and Geometric Topology 5 (2005), paper no. 26, pages 615-652.

Motivic cell structures

Daniel Dugger, Daniel C. Isaksen

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.

Keywords. Motivic cell structure, homotopy theory, celllular object

AMS subject classification. Primary: 55U35. Secondary: 14F42.

E-print: arXiv:math.AT/0310190

DOI: 10.2140/agt.2005.5.615

Submitted: 25 October 2004. Accepted: 11 May 2005. Published: 30 June 2005.

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Daniel Dugger, Daniel C. Isaksen
Department of Mathematics, University of Oregon, Eugene OR 97403, USA
Department of Mathematics, Wayne State University, Detroit, MI 48202, USA
Email: ddugger@darkwing.uoregon.edu, isaksen@math.wayne.edu

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