An essential, hyperconnected, local geometric morphism that is not locally connected.

@article{Hemelaer2020AnEH,
  title={An essential, hyperconnected, local geometric morphism that is not locally connected.},
  author={Jens Hemelaer and Morgan Rogers},
  journal={arXiv: Category Theory},
  year={2020}
}
We give an example of an essential, hyperconnected, local geometric morphism that is not locally connected, arising from our work-in-progress on geometric morphisms $\mathbf{PSh}(M) \to \mathbf{PSh}(N)$, where $M$ and $N$ are monoids. 

References

SHOWING 1-5 OF 5 REFERENCES
REMARKS ON PUNCTUAL LOCAL CONNECTEDNESS
  • 17
  • PDF
Monoid Properties as Invariants of Toposes of Monoid Actions
  • 3
  • PDF
Sketches of an Elephant: A Topos Theory Compendium Volume 1
  • 751
Toposes of Discrete Monoid Actions
  • 5
  • PDF
AXIOMATIC COHESION
  • 38
  • PDF