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Notes on Gromov’s hyperbolicity criterion for path-metric spaces. (English) Zbl 0843.20031

Ghys, É. (ed.) et al., Group theory from a geometrical viewpoint. Proceedings of a workshop, held at the International Centre for Theoretical Physics in Trieste, Italy, 26 March to 6 April 1990. Singapore: World Scientific. 64-167 (1991).
Summary: We give a survey of various properties of path-metric spaces satisfying the hyperbolicity criterion defined by Gromov. In particular we show the equivalence of various formulations of this criterion.
For the entire collection see [Zbl 0809.00017].

MSC:

20F65 Geometric group theory
53C23 Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces
57M07 Topological methods in group theory