Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 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.

 

Density points and bi-Lipschitz functions in $\textbf {R}^ m$
HTML articles powered by AMS MathViewer

by Zoltán Buczolich PDF
Proc. Amer. Math. Soc. 116 (1992), 53-59 Request permission

Abstract:

If $A,B \subset {{\mathbf {R}}^m}$ and $f$ is a bi-Lipschitz function mapping $A$ onto $B$ then density or dispersion points of $A$ are mapped exactly onto density or dispersion points of $B$, respectively.
References
  • Herbert Federer, Geometric measure theory, Die Grundlehren der mathematischen Wissenschaften, Band 153, Springer-Verlag New York, Inc., New York, 1969. MR 0257325
  • Witold Hurewicz and Henry Wallman, Dimension Theory, Princeton Mathematical Series, vol. 4, Princeton University Press, Princeton, N. J., 1941. MR 0006493
  • Walter Rudin, Functional analysis, McGraw-Hill Series in Higher Mathematics, McGraw-Hill Book Co., New York-Düsseldorf-Johannesburg, 1973. MR 0365062
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 26B35, 54C30
  • Retrieve articles in all journals with MSC: 26B35, 54C30
Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 116 (1992), 53-59
  • MSC: Primary 26B35; Secondary 54C30
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1100645-5
  • MathSciNet review: 1100645