Each nowhere dense nonvoid closed set in Rn is a σ-limit set
Sivak, Andrei
Fundamenta Mathematicae, Tome 149 (1996), p. 183-190 / Harvested from The Polish Digital Mathematics Library
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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 ℝn, n ≥ 1, is a σ-limit set for some continuous map.

Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:212116 
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     title = {Each nowhere dense nonvoid closed set in Rn is a $\sigma$-limit set},
     journal = {Fundamenta Mathematicae},
     volume = {149},
     year = {1996},
     pages = {183-190},
     zbl = {0852.54036},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv149i2p183bwm}
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Sivak, Andrei. Each nowhere dense nonvoid closed set in Rn is a σ-limit set. Fundamenta Mathematicae, Tome 149 (1996) pp. 183-190. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv149i2p183bwm/

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