The cactus tree of a metric space
We extend the cactus theorem of Dinitz, Karzanov, Lomonosov to metric spaces. In particular we show that if X is a separable continuum which is not separated by n-1 points then the set of all n-tuples of points separating X can be encoded by an R-tree.
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2011
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| Summary: | We extend the cactus theorem of Dinitz, Karzanov, Lomonosov to metric spaces. In particular we show that if X is a separable continuum which is not separated by n-1 points then the set of all n-tuples of points separating X can be encoded by an R-tree. |
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