Cardinality, completeness, and decomposability of sets of endpoints of chainable continua (Q1338207)
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scientific article; zbMATH DE number 695884
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cardinality, completeness, and decomposability of sets of endpoints of chainable continua |
scientific article; zbMATH DE number 695884 |
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Cardinality, completeness, and decomposability of sets of endpoints of chainable continua (English)
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27 November 1994
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The author provides constructive examples of chainable continua with exactly \(n\) endpoints where \(n\) is any nonnegative integer, \(\aleph_0\), or \({\mathfrak c} = 2^{\aleph_0}\). In each case, examples of both decomposable and indecomposable continua are presented. For the infinite cases, examples are provided showing that the set of endpoints can be complete or not. The author concludes with several questions about which sets can be endpoints.
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chainable continuum
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endpoint
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indecomposability
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