The approximation of Gδ-sets, in measure, by Fσ-sets
Published online by Cambridge University Press: 24 October 2008
Extract
Some time ago Besicovitch(l) gave an example of a linear Gδ-set E of Besicovitch dimension 1, with the property that E – A also has dimension 1, for each Fσ.-set A contained in E. This shows that an Fσ-set contained in E cannot be a very close approximation to E, but it leaves plenty of scope for Fσ-sets contained in E to be reasonably good approximations to E.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 61 , Issue 1 , January 1965 , pp. 105 - 107
- Copyright
- Copyright © Cambridge Philosophical Society 1965
References
REFERENCES
- 4
- Cited by