Finite-to-one open mappings on circularly chainable continua (Q789772)
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scientific article; zbMATH DE number 3846447
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite-to-one open mappings on circularly chainable continua |
scientific article; zbMATH DE number 3846447 |
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Finite-to-one open mappings on circularly chainable continua (English)
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1983
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\textit{G. T. Whyburn} [Duke Math. J. 3, 370-381 (1937; Zbl 0016.42102)] has shown that if \(f(X)=Y\) is a non-constant open mapping from a simple closed curve onto a Hausdorff space, then Y is either a simple closed curve or an arc. Furthermore, he has classified the possible types of such mappings. The authors establish analogous results for finite-to-one open mappings on hereditarily decomposable circularly chainable continua.
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finite-to-one open mappings on hereditarily decomposable circularly chainable continua
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