From continua to $\mathbb{R}$–trees

Panos Papasoglu; Eric L Swenson

doi:10.2140/agt.2006.6.1759

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Home > Journals > Algebr. Geom. Topol. > Volume 6 > Issue 4 > Article

2006 From continua to $\mathbb{R}$–trees

Panos Papasoglu, Eric L Swenson

Algebr. Geom. Topol. 6(4): 1759-1784 (2006). DOI: 10.2140/agt.2006.6.1759

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Abstract

We show how to associate an $ℝ$ –tree to the set of cut points of a continuum. If $X$ is a continuum without cut points we show how to associate an $ℝ$ –tree to the set of cut pairs of $X$ .

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Panos Papasoglu. Eric L Swenson. "From continua to $\mathbb{R}$–trees." Algebr. Geom. Topol. 6 (4) 1759 - 1784, 2006. https://doi.org/10.2140/agt.2006.6.1759