Geodesic
Open retractions of indecomposable continua
Sumiki Fukaishi1 ; Eiichi Matsuhashi1
1 Department of Mathematics and Computer Science Shimane University Matsue, Shimane 690-8504, Japan
Colloquium Mathematicum, Tome 148 (2017) no. 2, pp. 191-194.

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

We show that for each continuum $X$ there exist an indecomposable continuum $Y$ which contains $X$ and an open retraction $r: Y \to X$ such that each fiber of $r$ is homeomorphic to the Cantor set. Furthermore, $Y$ is homeomorphic to the closure of a countable union of topological copies of $X$ in some continuum. This result is a strengthening of a result proved by Bellamy (1971).
DOI : 10.4064/cm6912-7-2016
Mots-clés : each continuum there exist indecomposable continuum which contains retraction each fiber homeomorphic cantor set furthermore homeomorphic closure countable union topological copies continuum result strengthening result proved bellamy

Sumiki Fukaishi 1 ; Eiichi Matsuhashi 1

1 Department of Mathematics and Computer Science Shimane University Matsue, Shimane 690-8504, Japan 
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Sumiki Fukaishi; Eiichi Matsuhashi. Open retractions of indecomposable continua. Colloquium Mathematicum, Tome 148 (2017) no. 2, pp. 191-194. doi : 10.4064/cm6912-7-2016. http://geodesic.mathdoc.fr/articles/10.4064/cm6912-7-2016/

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