Mathematics Problem Archive

Is every $n$-dimensional homogeneous absolute neighborhood retract a topological manifold?...

For every fibration $F\to E\to B$ of simply connected spaces whose fiber $F$ is rationally elliptic with nonzero Euler characteristic, does the ration...

For every algebraic variety $X$ defined over $\mathbb{Q}$, does the closure of $X(\mathbb{Q})$ inside the real locus $X(\mathbb{R})$ have only finitel...

Does every wild knot have infinitely many quadrisecants, that is, lines meeting the knot in at least four distinct points?...

Let $M$ be a closed manifold. Is every closed exact Lagrangian submanifold of the cotangent bundle $T^*M$ Hamiltonian isotopic to the zero section?...