A geometric approach to the topological disk theorem of Reifenberg

Guanghao Hong; Lihe Wang

doi:10.2140/pjm.2007.233.321

Back

A geometric approach to the topological disk theorem of Reifenberg

Journal article

Open access

Peer reviewed

A geometric approach to the topological disk theorem of Reifenberg

Guanghao Hong and Lihe Wang

Pacific journal of mathematics, Vol.233(2), pp.321-339

12/01/2007

DOI: 10.2140/pjm.2007.233.321

Files and links (1)

url

https://doi.org/10.2140/pjm.2007.233.321View

Published (Version of record) Open Access

Abstract

Abstract We offer a new approach to the classical topological disk theorem of Reifenberg in the codimension-1 case. Our proof, using 1 2-level sets of the smoothing of the characteristic function of the domain Ω as approximating surfaces of ∂Ω, is much simpler than Reifenberg’s original one (1960). We also extend the result to parabolic space.

Details

Title: Subtitle: A geometric approach to the topological disk theorem of Reifenberg
Creators: Guanghao Hong
Lihe Wang
Resource Type: Journal article
Publication Details: Pacific journal of mathematics, Vol.233(2), pp.321-339
DOI: 10.2140/pjm.2007.233.321
ISSN: 0030-8730
eISSN: 1945-5844
Language: English
Date published: 12/01/2007
Academic Unit: Mathematics
Record Identifier: 9984083994902771

Metrics

12 Record Views

27 Times Cited - Web of Science