Classification of di-embeddings of the $n$-cube into $\mathbb{R}^n

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}.

Bibliographische Detailangaben

Veröffentlicht in:	Homology, homotopy, and applications homotopy, and applications, 2007, Vol.9 (1), p.213-220
Hauptverfasser:	Fernandes, Praphat, Nicas, Andrew
Format:	Artikel
Sprache:	eng
Schlagworte:	55D99 55P99 68Q85 Dihomeomorphism partially ordered space progress graph
Online-Zugang:	Volltext
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