Fans are not c-determined
Tom 81 / 1999
Colloquium Mathematicum 81 (1999), 299-308 DOI: 10.4064/cm-81-2-299-308
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.