A di-embedding of the n-cube In into Rn is a map In → Rn which is a dihomeomorphism onto its image. We show that such a map is, up to a permutation of coordinates, an n-fold product of 1-dimensional orientation preserving embeddings I1 → R.
Homology, Homotopy and Applications, Vol. 9 (2007), No. 1, pp.213-220.
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