Charatonik, Janusz J.; Charatonik, Włodzimierz J. Inducible mappings between hyperspaces. (English) Zbl 0888.54012 Bull. Pol. Acad. Sci., Math. 46, No. 1, 5-9 (1998). Summary: Given a continuum \(X\) we denote by \(2^X\) and \(C(X)\) the hyperspace of all nonempty compact subsets and of all nonempty subcontinua of \(X\). For any two continua \(X\) and \(Y\) and a mapping \(f:X\to Y\) let \(2^f\) and \(C(f)\) stand for the induced mappings between corresponding hyperspaces. A mapping \(g\) between the hyperspaces is inducible if there exists a mapping \(f\) such that \(g=2^f\) or \(g=C(f)\), respectively. Necessary and sufficient conditions are shown under which a given mapping \(g\) is inducible. Cited in 1 ReviewCited in 1 Document MSC: 54B20 Hyperspaces in general topology 54F15 Continua and generalizations Keywords:induced mapping; inducible mapping PDFBibTeX XMLCite \textit{J. J. Charatonik} and \textit{W. J. Charatonik}, Bull. Pol. Acad. Sci., Math. 46, No. 1, 5--9 (1998; Zbl 0888.54012)