Decomposability and symmetric continua in \(S^2\) (Q2770175)
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scientific article; zbMATH DE number 1702904
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Decomposability and symmetric continua in \(S^2\) |
scientific article; zbMATH DE number 1702904 |
Statements
16 July 2002
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antipodal mapping on \(S^2\)
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indecomposability
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symmetric indecomposable continuum
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Decomposability and symmetric continua in \(S^2\) (English)
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Symmetric continua in the 2-sphere \(S^2\), i.e., continua invariant under the antipodal map are studied. Chapters are: 1. Introduction; 2. Preliminaries and auxiliary results; 3. Some properties of symmetric continua in \(S^2\); 4. A symmetric indecomposable continuum in \(S^2\) -- a construction; 5. Relation of symmetric subsets of the 2-sphere to their images in the projective plane; 6. Two problems.
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