Abstract
We extend the cactus theorem of Dinitz, Karzanov, Lomonosov to metric spaces. In particular we show that if is a separable continuum which is not separated by points then the set of all –tuples of points separating can be encoded by an –tree.
Citation
Panos Papasoglu. Eric Swenson. "The cactus tree of a metric space." Algebr. Geom. Topol. 11 (5) 2547 - 2578, 2011. https://doi.org/10.2140/agt.2011.11.2547
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