Abstract
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.
Publisher
Cambridge University Press (CUP)
Reference2 articles.
1. The measure of product and cylinder sets;Besicovitch;J. London Math. Soc.,1945
2. On Approximation in Measure to Borel Sets by F
σ
-Sets
Cited by
4 articles.
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