Centres de Recerca de Catalunya (CERCA)
2014-01-01
We prove that any Riemannian two-sphere with area at most $ 1$ can be continuously mapped onto a tree in a such a way that the topology of fibers is controlled and their length is less than $ 7.6$ . This result improves previous estimates and relies on a similar statement for Riemannian two-disks.
Preliminary Edition
English
20 p.
CRM Preprints
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