Real Analysis Exchange

On a theorem of Volkmann.

Hans Weber and Enrico Zoli

Full-text: Open access

Abstract

We generalize a theorem of Volkmann concerning the Hausdorff measures on subfields of $\R$. Our short proof is based on a mensural trichotomy law for invariant subsets of a locally compact group.

Article information

Source
Real Anal. Exchange, Volume 31, Number 1 (2005), 1-6.

Dates
First available in Project Euclid: 5 June 2006

Permanent link to this document
https://projecteuclid.org/euclid.rae/1149516813

Mathematical Reviews number (MathSciNet)
MR2218183

Zentralblatt MATH identifier
1107.28004

Subjects
Primary: 28A12: Contents, measures, outer measures, capacities
Secondary: 28A78: Hausdorff and packing measures 43A05: Measures on groups and semigroups, etc.

Keywords
Hausdorff measures Haar measures locally compact groups invariant sets

Citation

Weber, Hans; Zoli, Enrico. On a theorem of Volkmann. Real Anal. Exchange 31 (2005), no. 1, 1--6. https://projecteuclid.org/euclid.rae/1149516813


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References

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