Reifenberg Parameterizations for Sets with Holes is popular PDF and ePub book, written by Guy David in 2012, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Reifenberg Parameterizations for Sets with Holes can be Read Online from any device for your convenience.
Reifenberg Parameterizations for Sets with Holes Book PDF Summary
The authors extend the proof of Reifenberg's Topological Disk Theorem to allow the case of sets with holes, and give sufficient conditions on a set $E$ for the existence of a bi-Lipschitz parameterization of $E$ by a $d$-dimensional plane or smooth manifold. Such a condition is expressed in terms of square summability for the P. Jones numbers $\beta_1(x,r)$. In particular, it applies in the locally Ahlfors-regular case to provide very big pieces of bi-Lipschitz images of $\mathbb R^d$.
Detail Book of Reifenberg Parameterizations for Sets with Holes PDF
- Author : Guy David
- Release : 21 September 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821853108
- Genre : Mathematics
- Total Page : 114 pages
- Language : English
- PDF File Size : 20,5 Mb
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