A short proof that a subquadratic isoperimetric inequality implies a linear one

B. H. Bowditch

We give a proof of the result that a path-metric space which satisfies a subquadratic isoperimetric inequality must in fact satisify a linear isoperimetric inquality, and is hence hyperbolic in the sense of Gromov. The argument works for any notion of area satisfying two simple axioms.

Michigan Math. J. 42 (1995) 103-107.


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