English

Cellular $E_k$-algebras

Algebraic Topology 2024-01-01 v4

Abstract

We give a set of foundations for cellular EkE_k-algebras which are especially convenient for applications to homological stability. We provide conceptual and computational tools in this setting, such as filtrations, a homology theory for EkE_k-algebras with a Hurewicz theorem, CW approximations, and many spectral sequences, which shall be used for such applications in future papers.

Keywords

Cite

@article{arxiv.1805.07184,
  title  = {Cellular $E_k$-algebras},
  author = {Soren Galatius and Alexander Kupers and Oscar Randal-Williams},
  journal= {arXiv preprint arXiv:1805.07184},
  year   = {2024}
}

Comments

v4: final version, to appear in Asterisque

R2 v1 2026-06-23T01:59:54.265Z