Motivic cell structures

Mathematics – Algebraic Topology

Scientific paper

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Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-26.abs.html

Scientific paper

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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