Difference-covers that are not k-sum-covers. II
| Autor: | D. M. Connolly, J. H. Williamson |
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| Rok vydání: | 1974 |
| Předmět: | |
| Zdroj: | Mathematical Proceedings of the Cambridge Philosophical Society. 75:63-73 |
| ISSN: | 1469-8064 0305-0041 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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