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ArticleOriginal scientific text

Title

Whitney maps-a non-metric case

Authors 1, 1

Affiliations

  1. Mathematical Institute, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Abstract

It is shown that there is no Whitney map on the hyperspace 2X for non-metrizable 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).

Keywords

ENG
Whitney map, hyperspace, metrizable, continuum

Bibliography

  1. R. Engelking, General Topology, Heldermann, Berlin, 1989.
  2. A. Gutek, A generalization of solenoids, in: Topology (Budapest, 1978), Colloq. Math. Soc. János Bolyai 23, North-Holland, Amsterdam, 1980, 547-554.
  3. A. Gutek and C. L. Hagopian, A nonmetric indecomposable homogeneous continuum every proper subcontinuum of which is an arc, Proc. Amer. Math. Soc. 86 (1982), 169-172.
  4. A. Illanes and S. B. Nadler, Jr., Hyperspaces, Dekker, New York, 1999.
  5. S. B. Nadler, Jr., Hyperspaces of Sets, Dekker, New York, 1978.
Colloquium Mathematicum
2000/83/2
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Pages:
305-307
Main language of publication
English
Received
1999-07-03
Accepted
2000-01-13
Published
2000
Exact and natural sciences