Vol. 246, No. 2, 2010

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A new proof of Reifenberg’s topological disc theorem

Guanghao Hong and Lihe Wang

Vol. 246 (2010), No. 2, 325–332
Abstract

We offer a new proof to the classical topological disk theorem of Reifenberg. The novelty of our method is that we construct the approximating surfaces globally, which makes our proof rather simple and direct.

Keywords
topological disk, Reifenberg flat, mollification
Mathematical Subject Classification 2000
Primary: 49Q15
Secondary: 28A15
Milestones
Received: 12 May 2009
Revised: 16 November 2009
Accepted: 20 November 2009
Published: 1 June 2010
Authors
Guanghao Hong
Xi’an Jiaotong University
Department of Mathematics
Xi’an, Shaanxi 710049
China
Lihe Wang
University of Iowa
Department of Mathematics
14 MacLean Hall
Iowa City, IA 52242-1419
United States
www.math.uiowa.edu/~lwang