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Mathematical Communications, Vol. 6 No. 1, 2001.

Original scientific paper

A note on a Whitney map for continua

I. Lončar

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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

https://hrcak.srce.hr/831

Publication date:

20.6.2001.

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