Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(online) ISSN 0894-0347(print)

 

A new proof
of Federer's structure theorem
for $k$-dimensional subsets of $\mathbf{R}^{N}$


Author: Brian White
Journal: J. Amer. Math. Soc. 11 (1998), 693-701
MSC (1991): Primary 28A75, 28A78
MathSciNet review: 1603866
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We prove that Federer's structure theorem for $k$-dimensional sets in $\mathbf{R}^{N}$ follows from the special case of $1$-dimensional sets in the plane, which was proved earlier by Besicovitch.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Journal of the American Mathematical Society with MSC (1991): 28A75, 28A78

Retrieve articles in all journals with MSC (1991): 28A75, 28A78


Additional Information

Brian White
Affiliation: Department of Mathematics, Stanford University, Stanford, California 94305
Email: white@math.stanford.edu

DOI: http://dx.doi.org/10.1090/S0894-0347-98-00267-7
PII: S 0894-0347(98)00267-7
Received by editor(s): September 15, 1997
Received by editor(s) in revised form: February 12, 1998
Additional Notes: The author was partially funded by NSF grant DMS-95-04456.
Article copyright: © Copyright 1998 American Mathematical Society