5 problems

Let $X$ be the metric space and $\mathcal{S}$ its singular set arising in Theorem, with the regular set $X\setminus \mathcal{S}$ known to be a $C^{\alpha}$ manifold for some…

Boundary-equality conjecture. The two boundary notions agree:

Codimension 4 conjecture. The singular set $\mathcal{S}$ should have codimension $4$.

Let $X\in\widetilde{\mathscr{KS}}(n,\kappa)$ be a Calabi–Yau conifold and let $x_0\in X$. The tangent space at $x_0$ is the limiting tangent object associated with the conifold str…

Product-independence conjecture. The product assumption in the gluing theorem can be dispensed with; that is, establishing a Cheeger--Müller theorem for $M$ should still reduce to…