Geodesic
Classification of di-embeddings of the $n$-cube into $\mathbb{R}^n$
Homology, homotopy, and applications, Tome 9 (2007) no. 1, pp. 213-220.

Voir la notice de l'article provenant de la source International Press of Boston

A di-embedding of the $n$-cube $I^n$ into $\mathbb{R}^n$ is a map $ I^n \to \mathbb{R}^n$ 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 $ I^1 \to \mathbb{R}$.
DOI : 10.4310/HHA.2007.v9.n1.a9
Classification : 55Pxx, 68Q85
Keywords: dihomeomorphism, partially ordered space, progress graph 
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Praphat Fernandes; Andrew Nicas. Classification of di-embeddings of the $n$-cube into $\mathbb{R}^n$. Homology, homotopy, and applications, Tome 9 (2007) no. 1, pp. 213-220. doi : 10.4310/HHA.2007.v9.n1.a9. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2007.v9.n1.a9/

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