Volume 5, issue 2 (2005)

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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
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
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