4 problems

Let $\epsilon>0$ and let $S_1,S_2$ be two closed hyperbolic surfaces. A finite-sheeted locally isometric cover of a surface is a finite-sheeted covering surface equipped with the p…

Closedness conjecture. Maximal $FL$ zones are closed.

Max-filtering bilipschitz conjecture. These injective maps are bilipschitz.

Siebenmann–Sullivan tameness conjecture. The set of equivalence classes of these complex algebraic sets is finite.