English

Motivic cell structures

Algebraic Topology 2014-10-01 v2 Algebraic Geometry K-Theory and Homology

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

Cite

@article{arxiv.math/0310190,
  title  = {Motivic cell structures},
  author = {Daniel Dugger and Daniel C. Isaksen},
  journal= {arXiv preprint arXiv:math/0310190},
  year   = {2014}
}

Comments

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