English

Chromatic structures in stable homotopy theory

Algebraic Topology 2019-05-01 v2

Abstract

In this survey, we review how the global structure of the stable homotopy category gives rise to the chromatic filtration. We then discuss computational tools used in the study of local chromatic homotopy theory, leading up to recent developments in the field. Along the way, we illustrate the key methods and results with explicit examples.

Keywords

Cite

@article{arxiv.1901.09004,
  title  = {Chromatic structures in stable homotopy theory},
  author = {Tobias Barthel and Agnès Beaudry},
  journal= {arXiv preprint arXiv:1901.09004},
  year   = {2019}
}

Comments

To appear in the Handbook of Homotopy Theory. All comments welcome

R2 v1 2026-06-23T07:22:30.791Z