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Uniform rectifiability and quasiminimizing sets of arbitrary codimension

Author: Guy David; Stephen Semmes
Publisher: Providence, R.I. : American Mathematical Society, 2000.
Series: Memoirs of the American Mathematical Society, no. 687.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:

Graphs of Lipschitz mappings $f\:\mathbfR^d \to \mathbfR^{n-d}$ are always quasiminimizing, and Almgren showed that quasiminimizing sets are rectifiable. This book establishes uniform rectifiability  Read more...

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Genre/Form: Electronic books
Additional Physical Format: Print version:
David, Guy, 1957-
Uniform rectifiability and quasiminimizing sets of arbitrary codimension /
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Guy David; Stephen Semmes
ISBN: 9781470402785 1470402785
OCLC Number: 851088826
Notes: "March 2000, volume 144, number 687 (end of volume)."
Description: 1 online resource (viii, 132 pages) : illustrations.
Contents: 0. Introduction 1. Quasiminimizers 2. Uniform rectifiability and the main result 3. Lipschitz projections into skeleta 4. Local Ahlfors-regularity 5. Lipschitz mappings with big images 6. From Lipschitz functions to projections 7. Regular sets and cubical patchworks 8. A stopping-time argument 9. Proof of main Lemma 8.7 10. Big projections 11. Restricted and dyadic quasiminimizers 12. Applications.
Series Title: Memoirs of the American Mathematical Society, no. 687.
Responsibility: Guy David, Stephen Semmes.

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