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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,…
math.AP2026
Propagation of nonlinear pulses near diffractive points of any order
Jian Wang, Mark Williams
We construct pulse-type approximate solutions to nonlinear hyperbolic equations near diffractive points, allowing arbitrary (even infinite) order of grazing. We show that in low re…