Macías, Sergio Hereditarily indecomposable continua have unique hyperspace \(2^X\). (English) Zbl 0938.54010 Bol. Soc. Mat. Mex., III. Ser. 5, No. 2, 415-418 (1999). Summary: The author proves that if \(X\) is a hereditarily indecomposable continuum and \(Y\) is a continuum such that \(2^X\) (the hypersurface of compact subsets of \(X\)) is homeomorphic to \(2^Y\) then \(X\) is homeomorphic to \(Y\). Cited in 1 ReviewCited in 7 Documents MSC: 54B20 Hyperspaces in general topology 54F15 Continua and generalizations Keywords:arc; composant; hereditarily indecomposable continuum PDFBibTeX XMLCite \textit{S. Macías}, Bol. Soc. Mat. Mex., III. Ser. 5, No. 2, 415--418 (1999; Zbl 0938.54010)