English

The Partial Simplicial Category and Algebras for Monads

Category Theory 2011-01-04 v1

Abstract

We construct explicitly the weights on the simplicial category so that the colimits and limits of 2-functors with those weights provide the Kleisli objects and the Eilenberg-Moore objects, respectively, in any 2-category.

Keywords

Cite

@article{arxiv.1101.0143,
  title  = {The Partial Simplicial Category and Algebras for Monads},
  author = {Marek Zawadowski},
  journal= {arXiv preprint arXiv:1101.0143},
  year   = {2011}
}

Comments

10 pages

R2 v1 2026-06-21T17:05:48.730Z