Download PDF - Fans are not c-determined
ArticleOriginal scientific text
Title
Fans are not c-determined
Authors 1
Affiliations
- Instituto de Matemáticas, Circuito Exterior, Cd. Universitaria México, 04510, México
Abstract
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.
Keywords
C-determined, hyperspaces, fan, continuum
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