4 problems

Let $C^{k,\omega }({\bf R}^{n})$ be the space of functions on ${\bf R}^{n}$ with $k$ derivatives whose $k$th-order derivatives have modulus of continuity controlled by $\omega$. It…

Negative-information noncomputability conjecture. Negative information does not suffice to prove computability, at least for the type of Whitney extension investigated in this pape…

Polynomial quantitative finiteness principle conjecture. The finiteness principle should hold with

Bierstone–Milman–Pawlucki conjecture. The necessary geometric criterion is sufficient for $C^m(\mathbb{R}^n)$ extension, at least when $X$ has a tame topology.