| Title:
|
A theorem of H. Steinhaus and $(R)$-dense sets of positive integers (English) |
| Author:
|
Narkiewicz, Władysław |
| Author:
|
Šalát, Tibor |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
34 |
| Issue:
|
3 |
| Year:
|
1984 |
| Pages:
|
355-361 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
11A41 |
| MSC:
|
11B05 |
| MSC:
|
11B83 |
| idZBL:
|
Zbl 0557.10039 |
| idMR:
|
MR761418 |
| DOI:
|
10.21136/CMJ.1984.101960 |
| . |
| Date available:
|
2008-06-09T15:00:35Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101960 |
| . |
| Reference:
|
[1] G. H. Hardy E. M. Wright: An Introduction to the Theory of Numbers.Oxford 1954. MR 0067125 |
| Reference:
|
[2] K. Knopp: Mengentheoretische Behandlung einiger Probleme der diophantischen Approximationen und der transfiniten Wahrscheinlichkeiten.Math. Annalen 95 (1925), 409-426. 10.1007/BF01206618 |
| Reference:
|
[3] J. Nagata: Modern General Topology.Amsterdam-London 1974. |
| Reference:
|
[4] H. H. Ostmann: Additive Zahlentheorie, I.Berlin 1956. Zbl 0072.03101 |
| Reference:
|
[5] W. Sierpinski: Elementary Theory of Numbers.Warszawa 1964. Zbl 0122.04402, MR 0175840 |
| Reference:
|
[6] T. Šalát: Cantorsche Entwicklungen der reellen Zahlen und das Hausdorffsche Mass.Publ. Math. Inst. Hung. Acad. Sci., 6 (1961), 15-41. MR 0147465 |
| Reference:
|
[7] T. Šalát: Über die Cantorsche Reihen.Czechoslov. Math. J., 18 (93), (1968), 25-56. MR 0223305 |
| Reference:
|
[8] T. Šalát: On ratio sets of sets of natural numbers.Acta Arith., 15 (1969), 273 - 278. MR 0242756, 10.4064/aa-15-3-273-278 |
| Reference:
|
[9] T. Šalát: Quotientbasen und (R)-dichte Mengen.ibidem 19 (1971), 63 - 78. Zbl 0218.10071, MR 0292788 |
| Reference:
|
[10] С. Visser: The law of nought-or-one.Studia Math., 7 (1938), 143-159. Zbl 0019.22501, 10.4064/sm-7-1-143-149 |
| Reference:
|
[11] B. Volkmann: Zwei Bemerkungen über pseudorationale Mengen.J. Reine Angew. Math. 193 (1954), 126-128. MR 0064848 |
| . |
