Geodesic
From continua to ℝ–trees
Papasoglu, Panos1 ; Swenson, Eric L2
1Mathematics Department, University of Athens, Athens 157 84, Greece
2Mathematics Department, Brigham Young University, Provo UT 84602, USA
Algebraic and Geometric Topology, Tome 6 (2006) no. 4, pp. 1759-1784
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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.

DOI : 10.2140/agt.2006.6.1759
Keywords: continuum, cut point, JSJ decomposition

Papasoglu, Panos  1   ; Swenson, Eric L  2

1 Mathematics Department, University of Athens, Athens 157 84, Greece
2 Mathematics Department, Brigham Young University, Provo UT 84602, USA 
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Papasoglu, Panos; Swenson, Eric L. From continua to ℝ–trees. Algebraic and Geometric Topology, Tome 6 (2006) no. 4, pp. 1759-1784. doi: 10.2140/agt.2006.6.1759

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