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Borel subrings of the reals

Authors :
G. A. Edgar
Chris Miller
Source :
Proceedings of the American Mathematical Society. 131:1121-1129
Publication Year :
2002
Publisher :
American Mathematical Society (AMS), 2002.

Abstract

A Borel (or even analytic) subring of R either has Hausdorff dimension 0 or is all of R. Extensions of the method of proof yield (among other things) that any analytic subring of C having positive Hausdorff dimension is equal to either R or C.

Subjects

Subjects :
Discrete mathematics
Pure mathematics
Mathematics::Commutative Algebra
Applied Mathematics
General Mathematics
Mathematics::Rings and Algebras
Mathematics::General Topology
Analytic set
Subring
Hausdorff dimension
Hausdorff measure
Set theory
Algebra over a field
Complex number
Mathematics

Details

ISSN :
10886826 and 00029939
Volume :
131
Database :
OpenAIRE
Journal :
Proceedings of the American Mathematical Society
Accession number :
edsair.doi...........a7c1c1d7b809eb14a28214d58469211c

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