Whitney Maps-a Non-metric Case

@inproceedings{Charatonik2003WhitneyMN,
  title={Whitney Maps-a Non-metric Case},
  author={Janusz J. Charatonik},
  year={2003}
}
It is shown that there is no Whitney map on the hyperspace 2x for nonmetrizable Hausdorff compact spaces X. Examples are presented of non-metrizable continua X which admit and ones which do not admit a Whitney map for C(X). Given a Hausdorff compact space X, we consider the space 2x of all non-empty compact subsets of X equipped with the Vietoris topology. Any subspace H (X) of the space 2x is called a hyperspace of X. In particular Fn(X) stands for the family of all non-empty subsets of X of… CONTINUE READING

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Showing 1-3 of 3 references

General Topology

  • R. Engelking
  • Heldermann, Berlin
  • 1989
Highly Influential
3 Excerpts

A nonmetric indecomposable homogeneous contii'!Uum every proper subcontinuum of which is an are

  • A. Gu tek, C. L. Hagopian
  • Proc. Amer. Math. Soc
  • 1982
2 Excerpts

tek, A generalization of solenoids

  • A. Gu
  • in: Topology (Budapest,
  • 1978
1 Excerpt

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