What is a noncommutative topos

@article{CvetkoVah2017WhatIA,
  title={What is a noncommutative topos},
  author={Karin Cvetko-Vah and Jens Hemelaer and L. L. Bruyn},
  journal={arXiv: Rings and Algebras},
  year={2017}
}
In 1702.04949 noncommutative frames were introduced, generalizing the usual notion of frames of open sets of a topological space. In this paper we extend this notion to noncommutative Grothendieck topologies and their associated noncommutative toposes of sheaves of sets. 
My journey into noncommutative lattices and their theory
  • Jonathan Leech
  • Computer Science, Mathematics
  • Art Discret. Appl. Math.
  • 2019

References

SHOWING 1-4 OF 4 REFERENCES
Noncommutative frames
Virtual topology and functor geometry
Normal skew lattices
Sheaves In Geometry And Logic