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Whitney maps – a non-metric case. (English) Zbl 0953.54013

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 \(C(X)\).

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
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