3 papers
math.CT2026
The Synthetic Sierpiński Cone
Fredrik Bakke, Jonathan Sterling, Mark Damuni Williams +1
In domains, categories, and toposes, the Sierpiński cone construction glues onto a space a universal closed point lying below all the other points. Although this is a lax colimit,…
cs.LO2025
When is the partial map classifier a Sierpiński cone?
Leoni Pugh, Jonathan Sterling
We study the relationship between partial map classifiers, Sierpiński cones, and axioms for synthetic higher categories and domains within univalent foundations. In particular, we…
math.AT2025
Vietoris-Rips complexes of torus grids
Henry Adams, Adenike Yeside Adetowubo, Hector Barriga-Acosta +2
We study the topology of Vietoris--Rips complexes of finite grids on the torus. Let be the grid of points on the flat torus , equipped with the…