A theorem of H. Steinhaus and ( R ) -dense sets of positive integers

Władysław Narkiewicz; Tibor Šalát

Czechoslovak Mathematical Journal (1984)

  • Volume: 34, Issue: 3, page 355-361
  • ISSN: 0011-4642

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Narkiewicz, Władysław, and Šalát, Tibor. "A theorem of H. Steinhaus and $(R)$-dense sets of positive integers." Czechoslovak Mathematical Journal 34.3 (1984): 355-361. <http://eudml.org/doc/13459>.

@article{Narkiewicz1984,
author = {Narkiewicz, Władysław, Šalát, Tibor},
journal = {Czechoslovak Mathematical Journal},
keywords = {R-density; sequences of integers; dyadic value; first Baire category; unit Hausdorff dimension},
language = {eng},
number = {3},
pages = {355-361},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A theorem of H. Steinhaus and $(R)$-dense sets of positive integers},
url = {http://eudml.org/doc/13459},
volume = {34},
year = {1984},
}

TY - JOUR
AU - Narkiewicz, Władysław
AU - Šalát, Tibor
TI - A theorem of H. Steinhaus and $(R)$-dense sets of positive integers
JO - Czechoslovak Mathematical Journal
PY - 1984
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 34
IS - 3
SP - 355
EP - 361
LA - eng
KW - R-density; sequences of integers; dyadic value; first Baire category; unit Hausdorff dimension
UR - http://eudml.org/doc/13459
ER -

References

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  1. G. H. Hardy E. M. Wright, An Introduction to the Theory of Numbers, Oxford 1954. (1954) MR0067125
  2. K. Knopp, 10.1007/BF01206618, Math. Annalen 95 (1925), 409-426. (1925) DOI10.1007/BF01206618
  3. J. Nagata, Modern General Topology, Amsterdam-London 1974. (1974) 
  4. H. H. Ostmann, Additive Zahlentheorie, I, Berlin 1956. (1956) Zbl0072.03101
  5. W. Sierpinski, Elementary Theory of Numbers, Warszawa 1964. (1964) Zbl0122.04402MR0175840
  6. T. Šalát, Cantorsche Entwicklungen der reellen Zahlen und das Hausdorffsche Mass, Publ. Math. Inst. Hung. Acad. Sci., 6 (1961), 15-41. (1961) MR0147465
  7. T. Šalát, Über die Cantorsche Reihen, Czechoslov. Math. J., 18 (93), (1968), 25-56. (1968) MR0223305
  8. T. Šalát, 10.4064/aa-15-3-273-278, Acta Arith., 15 (1969), 273 - 278. (1969) MR0242756DOI10.4064/aa-15-3-273-278
  9. T. Šalát, Quotientbasen und (R)-dichte Mengen, ibidem 19 (1971), 63 - 78. (1971) Zbl0218.10071MR0292788
  10. С. Visser, 10.4064/sm-7-1-143-149, Studia Math., 7 (1938), 143-159. (1938) Zbl0019.22501DOI10.4064/sm-7-1-143-149
  11. B. Volkmann, Zwei Bemerkungen über pseudorationale Mengen, J. Reine Angew. Math. 193 (1954), 126-128. (193) MR0064848

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