PL embeddings ofPL manifolds into some Euclidean spaces

The main result in this paper is the following: Theorem.Assume that W is a k-connected compact PL n-manifold with boundary, BdW is (k–1)-connected, k1(BdW is 1-connected for k=1), 0h2k, 2n–h>5and there exists a normal block (n-h-1)-bundle vover W, then

(1)	There is a neat PL embedding W D{su2n–h}which normal block bundle is isomorphic to v.
(2)	There is a PL embedding WS 2n–h–1 which normal block bundle is isomorphic to v.