Article contents
Difference-covers that are not k-sum-covers. II
Published online by Cambridge University Press: 24 October 2008
Abstract
We examine the possibility of establishing the existence of a compact subset E of ℝ such that E–E contains a non-degenerate interval and the semigroup generated by E has measure zero. We show that the existence of such an E is equivalent to the existence of a sequence of difference-covers that are not k-sum-covers for each k∈ℕ, and, further, is equivalent to the existence of an asymmetric maximal Raikov system.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 75 , Issue 1 , January 1974 , pp. 63 - 73
- Copyright
- Copyright © Cambridge Philosophical Society 1974
References
REFERENCES
- 5
- Cited by