Geodesic
Each nowhere dense nonvoid closed set in Rn is a σ-limit set
Fundamenta Mathematicae, Tome 149 (1996) no. 2, pp. 183-190.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We discuss main properties of the dynamics on minimal attraction centers (σ-limit sets) of single trajectories for continuous maps of a compact metric space into itself. We prove that each nowhere dense nonvoid closed set in $ℝ^n$, n ≥ 1, is a σ-limit set for some continuous map.
DOI : 10.4064/fm-149-2-183-190

Andrei G. Sivak 1

1 
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Andrei G.  Sivak. Each nowhere dense nonvoid closed set in Rn is a σ-limit set. Fundamenta Mathematicae, Tome 149 (1996) no. 2, pp. 183-190. doi : 10.4064/fm-149-2-183-190. http://geodesic.mathdoc.fr/articles/10.4064/fm-149-2-183-190/

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