# 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}
}
• Published 2020
• Computer Science, Mathematics
• arXiv: Category Theory
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.