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.
Citation
Hans Weber. Enrico Zoli. "On a theorem of Volkmann.." Real Anal. Exchange 31 (1) 1 - 6, 2005-2006.
Information
Published: 2005-2006
First available in Project Euclid: 5 June 2006
zbMATH: 1107.28004
MathSciNet: MR2218183
Subjects:
Primary:
28A12
Secondary:
28A78
,
43A05
Keywords:
Haar measures
,
Hausdorff measures
,
invariant sets
,
Locally compact groups
Rights: Copyright © 2005 Michigan State University Press