Author:
DYUBINA ANNA,POLTEROVICH IOSIF
Abstract
This paper presents explicit constructions of universal ℝ-trees as certain spaces of functions, and also
proves that a 2ℵ0-universal ℝ-tree can be isometrically embedded at infinity into a complete simply
connected manifold of negative curvature, or into a non-abelian free group. In contrast to asymptotic
cone constructions, asymptotic spaces are built without using the axiom of choice.
Cited by
22 articles.
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