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Title: Distance sets, ratio sets and certain transformations of sets of real numbers (English)
Author: Neubrunn, Tibor
Author: Šalát, Tibor
Language: English
Journal: Časopis pro pěstování matematiky
ISSN: 0528-2195
Volume: 94
Issue: 4
Year: 1969
Pages: 381-393
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Category: math
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MSC: 28-10
idZBL: Zbl 0188.11501
idMR: MR0257309
DOI: 10.21136/CPM.1969.117669
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Date available: 2009-09-23T08:08:46Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/117669
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Reference: [1] S. Piccard: Sur les ensemble de distances des ensembles de points d'un espace Euclidien.Neuchatel, 1933.
Reference: [2] E. Marczewski: O przesuniencach zbiórw i o pewnym twierdzeniu Steinhausa.Prace matem. I (1955), 256-263. MR 0073674
Reference: [3] N. C. Bose Majumdar: On some properties of sets with positive measures.Annali della Univ. di Ferrara, Sez. VII, X (1962), 1-12.
Reference: [4] H. Steinhaus: Sur les distances des points des ensembles de mesure positive.Fund. Math. 1 (1920), 93-104.
Reference: [5] P. Halmos: Teopия меры.Mocквa, 1953.
Reference: [6] И. П. Hamancoн: Теория функций действительного переменного.Mocква, 1957.
Reference: [7] H. Steinhaus: Nowa vlasnosc mnogosci G. Cantora.Wektor (1917), 105-107.
Reference: [8] R. P. Boas: The distance set of the Cantor set.Bull. Calcutta Math. Soc. 54 (1962), 103-104. Zbl 0112.28602, MR 0170820
Reference: [9] K. C. Ray: On some properties of ratio sets.Annali della Univ. di Ferrara, Sez. VII, XI (1962-1963), 45-49. MR 0188366
Reference: [10] T. Šalát: O множествах расстояний линейных дисконтинуымов.Čas. pěst. mat. 87 (1962), 4-16.
Reference: [11] T. Šalát: O množinách vzdialeností linearnych diskontinui II.Čas. pěst. matem. 87 (1962), 489-491.
Reference: [12] T. Šalát: O мере Хаусдорфа линейных множеств.Czechosl. Math. J., 11 (86), (1961), 24- 56.
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