Abstract
A variant of the Reifenberg parameterization algorithm
Guy David
Université Paris-Sud 11
The plan is to describe the proof of Reifenberg's topological
disk theorem, hoping that it will be new to a good part of the audience.
I'll also say why minor variants of the algorithm could lead to slightly
different results, and for instance give pieces of bilipschitz images of $R^d$
in $E$ when $E$ is Ahlfors-regular and Reifenberg-flat. This is joint work
with T. Toro. We did not check everything yet, so if something fails,
I'll talk about regularity for soap bubbles instead.
disk theorem, hoping that it will be new to a good part of the audience.
I'll also say why minor variants of the algorithm could lead to slightly
different results, and for instance give pieces of bilipschitz images of $R^d$
in $E$ when $E$ is Ahlfors-regular and Reifenberg-flat. This is joint work
with T. Toro. We did not check everything yet, so if something fails,
I'll talk about regularity for soap bubbles instead.
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