A Theorem on Homotopically Equivalent (2k + 1)-Manifolds

Surgery on piecewise linear manifolds and applications

“…Therefore the connected sum N # P embeds in S n+k with a normal microbundle/ on (N # P) 0 which coincides with the normal microbundle v of N on No, and which is trivial on the rest of (N # P) 0 . Alternatively, in the middle dimension we could use the method of [14].…”