English

Toposes of Discrete Monoid Actions

Category Theory 2019-05-27 v1 Rings and Algebras

Abstract

Properties of toposes of right MM-sets are studied, and these toposes are characterised up to equivalence by their canonical points. The solution to the corresponding Morita equivalence problem is presented in the form of an equivalence between a 2-category of monoids and the corresponding 2-category of toposes.

Keywords

Cite

@article{arxiv.1905.10277,
  title  = {Toposes of Discrete Monoid Actions},
  author = {Morgan Rogers},
  journal= {arXiv preprint arXiv:1905.10277},
  year   = {2019}
}

Comments

14 pages. Project under the INdAM Doctoral Programme in Mathematics and/or Applications Cofunded by Marie Sklodowska-Curie Actions, INdAM-DP-COFUND-2015, grant number 713485. Uploaded 24/05/2019