Original scientific paper
A note on a Whitney map for continua
I. Lončar
Abstract
Let X be a non-metric continuum, and C(X) the hyperspace of subcontinua of X. It is known that there is no Whitney map on the hyperspace 2^X for non-metrizable Hausdorff compact spaces X.
On the other hand, there exist non-metrizable continua which admit
and the ones which do not admit a Whitney map for C(X). In this paper we investigate the properties of non-metrizable continua which
admit a Whitney map and the ones which do not admit a Whitney map for C(X). It is shown that there is no Whitney map on the hyperspace
C(X) if X is a non-metrizable locally connected or rim-metrizable
continuum.
Keywords
continuum; hyperspace; inverse system
Hrčak ID:
831
URI
Publication date:
20.6.2001.
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