An $F_{\sigma }$ semigroup of zero measure which contains a translate of every countable set

 Access to full text

 Full (PDF)

1. [1] Brown ( G.) and Moran ( W.). - Raikov systems and radicals in convolution measure algebras, J. of London math. Soc., Series 2, t. 28, 1983, p. 531-542. Zbl0545.43003MR724723
2. [2] Cassels ( J.W.S.). - On a method of Marshall Hall, Mathematika, London, t. 31, 1956, p. 109-110. Zbl0073.03401
3. [3] Connolly ( D.M.) and Williamson ( J.H.). - Bifference-covers that are not ksum covers II, Proc. Cambridge, phil. Soc., t. 75, 1974, p. 63-73. Zbl0276.05023MR396465
4. [4] Davenport ( H.). - A note on diophantine approximation, Studies in mathematical analysis and related topics, p. 77-81. - Stanford, Stanford university.Press, 1962. Zbl0114.02903MR146145
5. [5] Gelfand ( I.M.), Raikov ( D.A.) and Shilov ( G.E.). - Commutative normed rings. - New York, Chelsea publishing Company, 1964. MR205105
6. [6] Haight ( J.A.). - Difference covers which have small k-sums for any k, Mathematika, London, t. 20, 1973, p. 109-118. Zbl0267.05013MR337875
7. [7] Hall ( Marschall, Jr.). - On the sum and product of continued fractions, Annals of Math., Series 2, t. 48, 1947, p. 966-993. Zbl0030.02201MR22568
8. [8] Hlawka ( J.L.). - Results on sums of continued fractions, Trans. Amer. math. Soc., t. 211, 1975, p. 123-134. Zbl0313.10032MR376545
9. [9] Jackson ( T.H.). - Asymmetric sets of residues, Mathematika, London, t. 19, 1972, p. 191-199. Zbl0256.10029MR316361
10. [10] Piccard ( S.). - Sur des ensembles parfaits, Mémoires de l'Université de Neuchâtel, Neuchâtel, t. 16, Secrétariat de l'Université de Neuchâtel, 1942. MR8835JFM68.0102.03
11. [11] Schmide ( W.M.). - On badly approximable numbers, Mathematika, London, t. 12, 1965, p. 10-20. Zbl0163.04802MR181610