No CrossRef data available.
Article contents
A characterization of certain compact sets of measure zero
Published online by Cambridge University Press: 24 October 2008
Abstract
We show that the only compact subsets of [0, 1] of measure zero are the obvious ones, and extend this idea to show that the only compact subsets of [0, 1] that generate semigroups of ℝ of measure zero are the obvious ones. We apply this last result to prove that any proper Raikov system of subsets of ℝ, with a single generator, is contained in a strictly larger proper Raikov system.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 78 , Issue 2 , September 1975 , pp. 317 - 319
- Copyright
- Copyright © Cambridge Philosophical Society 1975