Colinking properties of Euclidean neighborhood retracts in Menger manifolds

This thesis examines colinking properties of ENRs (euclidean neighborhood retracts) embedded in Menger manifolds. The primary issue concerns the relationship between three qualities: the dimension of the ENR, the dimension of the Menger manifold, and the colinking dimension of the ENR in the Menger manifold.; Jimenez and Scepin, in [JS01], asked what spaces colink in an n-dimensional Menger manifold, and proved that certain classes of spaces never do, including all polyhedra, and all 1-dimensional ENRs. They conjectured that ENRs of any dimension never colink in a Menger manifold. We show in this thesis that the conjecture is in fact true.