Geodesic
Fans are not c-determined
Colloquium Mathematicum, Tome 81 (1999) no. 2, pp. 299-308.

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

A continuum is a compact connected metric space. For a continuum X, let C(X) denote the hyperspace of subcontinua of X. In this paper we construct two nonhomeomorphic fans (dendroids with only one ramification point) X and Y such that C(X) and C(Y) are homeomorphic. This answers a question by Sam B. Nadler, Jr.
DOI : 10.4064/cm-81-2-299-308
Keywords: C-determined, hyperspaces, fan, continuum

Alejandro Illanes 1

1 
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Alejandro Illanes. Fans are not c-determined. Colloquium Mathematicum, Tome 81 (1999) no. 2, pp. 299-308. doi : 10.4064/cm-81-2-299-308. http://geodesic.mathdoc.fr/articles/10.4064/cm-81-2-299-308/

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