On the transitive and $\omega$-limit points of the continuous mappings of the circle
Pokluda, David
Archivum Mathematicum, Tome 038 (2002), p. 49-52 / Harvested from Czech Digital Mathematics Library
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We extend the recent results from the class $\mathcal {C}(I,I)$ of continuous maps of the interval to the class $\mathcal {C}(\mathbb {S},\mathbb {S})$ of continuous maps of the circle. Among others, we give a characterization of $\omega $-limit sets and give a characterization of sets of transitive points for these maps.

Publié le : 2002-01-01
Classification:  37B25,  37E10 
@article{107818,
     author = {David Pokluda},
     title = {On the transitive and $\omega$-limit points of the continuous mappings of the circle},
     journal = {Archivum Mathematicum},
     volume = {038},
     year = {2002},
     pages = {49-52},
     zbl = {1087.37033},
     mrnumber = {1899567},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107818}
}

Pokluda, David. On the transitive and $\omega$-limit points of the continuous mappings of the circle. Archivum Mathematicum, Tome 038 (2002) pp. 49-52. http://gdmltest.u-ga.fr/item/107818/

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