Condensed and bornological geometry model conjecture

Let the models of geometry under consideration include analytic stacks in condensed mathematics and models based on bornological rings. The assumptions are the assumptions previously imposed on the ambient category of stacks and the universal vector-bundle construction.

Condensed and bornological geometry model conjecture. The models of geometry in condensed mathematics, such as analytic stacks, and the models of geometry based on bornological rings satisfy these assumptions.

The statement is presented among conjectures to be proved in future work, and the supplied text gives no evidence of resolution. The external attributions identify Clausen–Scholze (2019) and Ben-Bassat–Kremnizer–Kremnizer (2024).