Distance sets, ratio sets and certain transformations of sets of real numbers

Tibor Neubrunn; Tibor Šalát

Časopis pro pěstování matematiky (1969)

  • Volume: 094, Issue: 4, page 381-393
  • ISSN: 0528-2195

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Neubrunn, Tibor, and Šalát, Tibor. "Distance sets, ratio sets and certain transformations of sets of real numbers." Časopis pro pěstování matematiky 094.4 (1969): 381-393. <http://eudml.org/doc/21035>.

@article{Neubrunn1969,
author = {Neubrunn, Tibor, Šalát, Tibor},
journal = {Časopis pro pěstování matematiky},
keywords = {Analysis},
language = {eng},
number = {4},
pages = {381-393},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Distance sets, ratio sets and certain transformations of sets of real numbers},
url = {http://eudml.org/doc/21035},
volume = {094},
year = {1969},
}

TY - JOUR
AU - Neubrunn, Tibor
AU - Šalát, Tibor
TI - Distance sets, ratio sets and certain transformations of sets of real numbers
JO - Časopis pro pěstování matematiky
PY - 1969
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 094
IS - 4
SP - 381
EP - 393
LA - eng
KW - Analysis
UR - http://eudml.org/doc/21035
ER -

References

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  1. S. Piccard, Sur les ensemble de distances des ensembles de points d'un espace Euclidien, Neuchatel, 1933. (1933) 
  2. E. Marczewski, O przesuniencach zbiórw i o pewnym twierdzeniu Steinhausa, Prace matem. I (1955), 256-263. (1955) MR0073674
  3. N. C. Bose Majumdar, On some properties of sets with positive measures, Annali della Univ. di Ferrara, Sez. VII, X (1962), 1-12. (1962) 
  4. H. Steinhaus, Sur les distances des points des ensembles de mesure positive, Fund. Math. 1 (1920), 93-104. (1920) 
  5. P. Halmos, Teopия меры, Mocквa, 1953. (1953) 
  6. И. П. Hamancoн, Теория функций действительного переменного, Mocква, 1957. (1957) 
  7. H. Steinhaus, Nowa vlasnosc mnogosci G. Cantora, Wektor (1917), 105-107. (1917) 
  8. R. P. Boas, The distance set of the Cantor set, Bull. Calcutta Math. Soc. 54 (1962), 103-104. (1962) Zbl0112.28602MR0170820
  9. K. C. Ray, On some properties of ratio sets, Annali della Univ. di Ferrara, Sez. VII, XI (1962-1963), 45-49. (1962) MR0188366
  10. T. Šalát, O множествах расстояний линейных дисконтинуымов, Čas. pěst. mat. 87 (1962), 4-16. (1962) 
  11. T. Šalát, O množinách vzdialeností linearnych diskontinui II, Čas. pěst. matem. 87 (1962), 489-491. (1962) 
  12. T. Šalát, O мере Хаусдорфа линейных множеств, Czechosl. Math. J., 11 (86), (1961), 24- 56. (1961) 

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