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 |