Mathematical Sciences: Some Problems in Geometric Topology

费里计划研究几何学的几个领域的问题， topology. 这些问题与构建封闭的 包含给定开流形作为余维零的流形 子流形，表征欧几里得空间的开子集， 研究哪些开流形可以通过 Hurewicz纤维化及无圈同伦映射的判定 纤维是同伦的一个地图与非循环点逆。 理解三维流形特别有价值，因为 它们是研究许多问题的自然背景， 我们的物理栖息地

Ferry plans to study problems in several areas of geometric topology. The problems are concerned with constructing closed manifolds containing a given open manifold as a codimension-zero submanifold, characterizing open subsets of Euclidean space, studying which open manifolds may be deformed into each other via Hurewicz fibrations, and finding when a map with acyclic homotopy fiber is homotopic to a map with acyclic point-inverses. Understanding 3-manifolds is particularly valuable, since they are the natural setting for studying many questions about our physical habitat.