Publication: An introduction to asymptotic geometry
An introduction to asymptotic geometry
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Schroeder, V. (2012). An introduction to asymptotic geometry. In A. Papadopoulos (Ed.), Strasbourg Master Class on Geometry (No. 18; Vol. 18, Issue 18, pp. 405–454). Institut de recherche Mathématique avancée de Strasbourg. https://doi.org/10.4171/105-1/8
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This survey article presents the fundamentals of large-scale geometry of hyperbolic metric spaces and their boundaries. It is based on the book [S. Buyalo and V. Schroeder, Elements of asymptotic geometry. EMS Monographs in Mathematics. Zürich: European Mathematical Society (EMS). (2007; Zbl 1125.53036)]. A metric space X is Gromov hyperbolic if there exists δ≥0 such that for any four points x,y,z,w∈X the two largest of the three numbers |xy|+|zw|,|xz|+|yw|,|xw|+|yz| differ at most by 2δ, where |xy|, |zw| etc. denotes the distances. T
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Schroeder, V. (2012). An introduction to asymptotic geometry. In A. Papadopoulos (Ed.), Strasbourg Master Class on Geometry (No. 18; Vol. 18, Issue 18, pp. 405–454). Institut de recherche Mathématique avancée de Strasbourg. https://doi.org/10.4171/105-1/8