**Backround**

**Definition**

**Presentation over a site**

**Models**

A kind of local generalization of *cohesive $\infty$-toposes*.

(…)

- Apparently condensed mathematics takes place in fractured $\infty$-topoi, see at
*condensed local contractibility*.

- Jacob Lurie,
*Fractured $\infty$-Topoi*, Chapter 20 in:*Spectral Algebraic Geometry*

following

- David Carchedi,
*Higher Orbifolds and Deligne-Mumford Stacks as Structured Infinity Topoi*, Memoirs of the American Mathematical Society**264**1282 (2020) [doi:10.1090/memo/1282, arXiv:1312.2204]

The example of condensed local contractibility:

exposition:

Last revised on November 3, 2023 at 08:28:28. See the history of this page for a list of all contributions to it.