Geodesic
Distance sets, ratio sets and certain transformations of sets of real numbers
Časopis pro pěstování matematiky, Tome 94 (1969) no. 4, pp. 381-393

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DOI : 10.21136/CPM.1969.117669
Classification : 28-10 
Neubrunn, Tibor; Šalát, Tibor. Distance sets, ratio sets and certain transformations of sets of real numbers. Časopis pro pěstování matematiky, Tome 94 (1969) no. 4, pp. 381-393. doi: 10.21136/CPM.1969.117669
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[1] S. Piccard: Sur les ensemble de distances des ensembles de points d'un espace Euclidien. Neuchatel, 1933.

[2] E. Marczewski: O przesuniencach zbiórw i o pewnym twierdzeniu Steinhausa. Prace matem. I (1955), 256-263. | MR

[3] N. C. Bose Majumdar: On some properties of sets with positive measures. Annali della Univ. di Ferrara, Sez. VII, X (1962), 1-12.

[4] H. Steinhaus: Sur les distances des points des ensembles de mesure positive. Fund. Math. 1 (1920), 93-104.

[5] P. Halmos: Teopия меры. Mocквa, 1953.

[6] И. П. Hamancoн: Теория функций действительного переменного. Mocква, 1957.

[7] H. Steinhaus: Nowa vlasnosc mnogosci G. Cantora. Wektor (1917), 105-107.

[8] R. P. Boas: The distance set of the Cantor set. Bull. Calcutta Math. Soc. 54 (1962), 103-104. | MR | Zbl

[9] K. C. Ray: On some properties of ratio sets. Annali della Univ. di Ferrara, Sez. VII, XI (1962-1963), 45-49. | MR

[10] T. Šalát: O множествах расстояний линейных дисконтинуымов. Čas. pěst. mat. 87 (1962), 4-16.

[11] T. Šalát: O množinách vzdialeností linearnych diskontinui II. Čas. pěst. matem. 87 (1962), 489-491.

[12] T. Šalát: O мере Хаусдорфа линейных множеств. Czechosl. Math. J., 11 (86), (1961), 24- 56.

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