Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The essential boundary of certain sets
HTML articles powered by AMS MathViewer

by A. M. Bruckner, Roy O. Davies and C. Goffman
Proc. Amer. Math. Soc. 96 (1986), 579-584
DOI: https://doi.org/10.1090/S0002-9939-1986-0826484-5

Abstract:

The essential boundary of a measurable set is related to the de Giorgi perimeter and was introduced by Vol’pert in his "improvement" of Federer’s work. For a totally disconnected compact set of positive measure in $n$ space the essential boundary can be of Hausdorff $n - 1$ dimension but cannot have $\sigma$ finite $(n - 1)$-measure.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 28A75
  • Retrieve articles in all journals with MSC: 28A75
Bibliographic Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 96 (1986), 579-584
  • MSC: Primary 28A75
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0826484-5
  • MathSciNet review: 826484