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A short proof of Gromov's filling inequality
2008
Proceedings of the American Mathematical Society
We give a very short and rather elementary proof of Gromov's filling volume inequality for n-dimensional Lipschitz cycles (with integer and Z 2 -coefficients) in L ∞ -spaces. This inequality is used in the proof of Gromov's systolic inequality for closed aspherical Riemannian manifolds and is often regarded as the difficult step therein.
doi:10.1090/s0002-9939-08-09203-4
fatcat:cmatwwd2dvcwzehjcr6tnhqes4