3 problems

Classification conjecture. The invariant is a complete invariant of the set of equivalence classes modulo surgery in $\ker\rho$. Equivalently, the theorem asserting that there are…

Let $A\subset\mathbb{R}_{>0}$ be algebraically independent, meaning that no nonzero polynomial with rational coefficients vanishes on any finite tuple of distinct elements of $A$.…

Let $P$ be a finite set of points in the plane, and colour each point with one of $k$ colours. A monochromatic line means a maximal set of collinear points in $P$ whose points all…