Density points and bi-Lipschitz functions in 𝑅^{𝑚}

Buczolich, Zoltán

doi:10.1090/S0002-9939-1992-1100645-5

Density points and bi-Lipschitz functions in $\textbf {R}^ m$
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by Zoltán Buczolich

Proc. Amer. Math. Soc. 116 (1992), 53-59

DOI: https://doi.org/10.1090/S0002-9939-1992-1100645-5

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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.

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