Charatonik, Janusz J.; Charatonik, Włodzimierz J. Whitney maps – a non-metric case. (English) Zbl 0953.54013 Colloq. Math. 83, No. 2, 305-307 (2000). Summary: It is shown that there is no Whitney map on the hyperspace \(2^X\) for non-metrizable Hausdorff compact spaces \(X\). The authors present examples of non-metrizable continua \(X\) which admit and such which do not admit a Whitney map for \(C(X)\). Cited in 4 ReviewsCited in 3 Documents MSC: 54B20 Hyperspaces in general topology 54F15 Continua and generalizations 54C99 Maps and general types of topological spaces defined by maps 54E35 Metric spaces, metrizability Keywords:Whitney map; non-metrizable continua PDFBibTeX XMLCite \textit{J. J. Charatonik} and \textit{W. J. Charatonik}, Colloq. Math. 83, No. 2, 305--307 (2000; Zbl 0953.54013) Full Text: DOI EuDML