2 problems

Let $(V,\partial V)$ be a manifold with $\dim(V)\geq 3$. Let $X\hookrightarrow B\to V$ be a bundle with structure group $\operatorname{Homeo}(X)$, where $X$ is a manifold with a po…

Let $B$ be a closed aspherical manifold, and let $p\colon M\to B$ and $q\colon N\to B$ be MAFs. MAF Rigidity Conjecture. The maps $p$ and $q$ are controlled homeomorphic if and onl…