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Compactness and local compactness for {mathbb{R}}-trees
Authors:Ian Chiswell  Thomas W. Müller  Jan-Christoph Schlage-Puchta
Affiliation:1. School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London, E1 4NS, United Kingdom
2. Mathematisches Institut, Albert-Ludwigs-Universit?t, Eckerstr. 1, 79104, Freiburg, Germany
Abstract:We establish (geometric) criteria for an $${mathbb{R}}$$-tree to be compact and to be locally compact. It follows that locally compact $${mathbb{R}}$$-trees are separable. Received: 10 September 2007
Keywords:  KeywordHeading"  >.   IEq4"  >  /content/6768l6l888x2825g/13_2008_2578_Article_IEq4.gif"   alt="  $${mathbb{R}}$$"   align="  middle"   border="  0"  >-tree  compact  locally compact  complete  separable
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