English

On the splitting of polynomial functors

Algebraic Topology 2012-10-05 v2 K-Theory and Homology

Abstract

We develop methods for proving that certain extensions of polynomial functors do not split naturally. As an application we give a functorial description of the third and the fourth stable homotopy groups of the classifying spaces of free abelian groups.

Keywords

Cite

@article{arxiv.1202.0586,
  title  = {On the splitting of polynomial functors},
  author = {Roman Mikhailov},
  journal= {arXiv preprint arXiv:1202.0586},
  year   = {2012}
}

Comments

22 pages

R2 v1 2026-06-21T20:14:10.616Z