Embedding connected sums of tori in codimension one
Douglas R. Anderson · Illinois Journal of Mathematics · 1971
The problem of classifying embeddings of a torus S T S q in S +q+l has been settled in the differentiable and piecewise linear (PL) ctegories by Kosinski [6], Wll [7], nd Goldstein [1].It is the object of this pper to extend these results in the PL ctegory to locally unotted embeddings of connected sums of tori in sphere of codimension one.Before stating the min result we mke the.Clearly is n equivalence relation.The equivMence class of the locally unknotted embeddingf M V is clled the pseudo-isotopy class of f nd the set of M1 pseudo-isotopy classes is denoted by Pseudo-Iso (M, V).The min result of this pper is MAIN THEOREM.Let n > 5 and let M (L Sf X S) ( Sf X S) ( Sf' X S') where2Np<p< <p, Nq,< <q