Farrell–Ontaneda conjecture on the topological triviality of negatively curved bundles

Let $X$ be a compact simply connected manifold or a simply connected finite simplicial complex, and let $M\to E\stackrel{p}{\to}X$ be a negatively curved bundle. A bundle is topologically trivial if there is a continuous map $r\colon E\to M$ whose restriction to each fiber is a homeomorphism. Farrell–Ontaneda conjecture. The bundle $p\colon E\to X$ is topologically trivial. This predicts that negative curvature prevents nontrivial bundle topology over simply connected bases; the supplied text gives no resolution status.