Motivic cell structures

Dugger, Daniel; Isaksen, Daniel C

doi:10.2140/agt.2005.5.615

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Motivic cell structures

Daniel Dugger and Daniel C Isaksen

Algebraic & Geometric Topology 5 (2005) 615–652

DOI: 10.2140/agt.2005.5.615

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

Mathematical Subject Classification 2000

Primary: 55U35

Secondary: 14F42

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Publication

Received: 25 October 2004

Accepted: 11 May 2005

Published: 30 June 2005

Authors

Daniel Dugger
Department of Mathematics University of Oregon Eugene OR 97403 USA

Daniel C Isaksen
Department of Mathematics Wayne State University Detroit MI 48202 USA

Volume 5, issue 2 (2005)