English

Monoid Properties as Invariants of Toposes of Monoid Actions

Category Theory 2020-04-23 v1 Rings and Algebras

Abstract

We systematically investigate, for a monoid MM, how topos-theoretic properties of PSh(M)\mathbf{PSh}(M), including the properties of being atomic, strongly compact, local, totally connected or cohesive, correspond to semigroup-theoretic properties of MM.

Keywords

Cite

@article{arxiv.2004.10513,
  title  = {Monoid Properties as Invariants of Toposes of Monoid Actions},
  author = {Jens Hemelaer and Morgan Rogers},
  journal= {arXiv preprint arXiv:2004.10513},
  year   = {2020}
}

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41 pages