Author:
Connolly D. M.,Williamson J. H.
Abstract
AbstractWe 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.
Publisher
Cambridge University Press (CUP)
Reference8 articles.
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