Some examples relating the deleted product to imbeddability
Brian R. Ummel · Proceedings of the American Mathematical Society · 1972
Examples are given showing the limitations of the homology of the deleted product in determining the imbeddability of simplicial complexes in a given Euclidean space. It is also proven that the only finite $1$-complexes whose polyhedral deleted products are closed $2$-manifolds are the two primitive skew curves of Kuratowski.