English

Levelwise modules over separable monads on stable derivators

Category Theory 2016-08-24 v1 Algebraic Topology

Abstract

We show that given a separable cocontinuous monad on a stable derivator, the levelwise Eilenberg-Moore categories of modules glue together to a stable derivator. As an application, we give examples of derivators that satisfy all the axioms for stability except the strongness one.

Keywords

Cite

@article{arxiv.1608.06340,
  title  = {Levelwise modules over separable monads on stable derivators},
  author = {Ioannis Lagkas-Nikolos},
  journal= {arXiv preprint arXiv:1608.06340},
  year   = {2016}
}

Comments

17 pages. Comments are welcome

R2 v1 2026-06-22T15:27:07.072Z