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A short proof that a subquadratic isoperimetric inequality implies a linear one. (English) Zbl 0835.53051
It is proved that if a path-metric space (with some notion of area) satisfies a subquadratic isoperimetric inequality, then it satisfies a linear one, and so it is hyperbolic in the sense of Gromov.

53C23 Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces
53C22 Geodesics in global differential geometry
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