Many authors have been concerned with embedding ∏-like continua in R n where ∏ is some collection of polyhedra or manifolds. A similar concern has been embedding ∏-like continua in R n up to shape. In this paper we prove two main theorems. Theorem: If n ⩾ 2 and X is T n -like, then X embeds in R 2 n . This result was conjectured by McCord for the case H 1( X) finitely generated and proved by McCord for the case that H 1( X) = 0 using a theorem of Isbell. The second theorem is a shape embedding theorem. Theorem: If X is T n -like, then X embeds in R n+2 up to shape. This theorem is proved by showing that an n-dimensional compact connected abelian topological group embeds in R n+2 . Any T n -like continuum is shape equivalent to a k-dimensional compact connected abelian topological group for some 0 ⩽ k ⩽ n.