Wild cantor sets as approximations to codimension two manifolds

AbstractThe main result establishes a technique for constructing wildly embedded Cantor sets in Euclidean n-space (n>2). For any (n−2)-manifold M embedded there with a closed neighborhood W homeomorphic to the product of M and a 2-cell, it gives a Cantor set C in W such that the only loops from the complement of W that are contractible in the complement of C are those that are contractible in the complement of M