Gromov's compactness theorem

Gromov's compactness theorem can refer to either of two mathematical theorems:

• Gromov's compactness theorem (geometry) stating that certain sets of Riemannian manifolds are relatively compact in the Gromov-Hausdorff metric
• Gromov's compactness theorem (topology) on the existence of limits of sequences of pseudoholomorphic curves

Topics referred to by the same term

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