  We study piecewise linear co-dimension two embeddings of closed oriented
manifolds in Euclidean space, and show that any such embedding can always be
isotoped to be a closed braid as long as the ambient dimension is at most five,
extending results of Alexander (in ambient dimension three), and Viro and
independently Kamada (in ambient dimension four). We also show an analogous
result for higher co-dimension embeddings.
