Plenty of big projections imply big pieces of Lipschitz graphs
Orponen, T. (2021). Plenty of big projections imply big pieces of Lipschitz graphs. Inventiones Mathematicae, 226(2), 653-709. https://doi.org/10.1007/s00222-021-01055-z
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2021Copyright
© The Author(s) 2021
I prove that closed n-regular sets E⊂Rd with plenty of big projections have big pieces of Lipschitz graphs. In particular, these sets are uniformly n-rectifiable. This answers a question of David and Semmes from 1993.
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0020-9910Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/97895696
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