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Title: Generalization of some known properties of Cantor set (English)
Author: Ganguly, Dilip Kumar
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 28
Issue: 3
Year: 1978
Pages: 369-372
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Category: math
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MSC: 26A30
idZBL: Zbl 0408.04001
idMR: MR0492114
DOI: 10.21136/CMJ.1978.101542
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Date available: 2008-06-09T14:29:04Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101542
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Reference: [1] Bose Majumdar N. C.: On the distance set of the Cantor middle third set III.Amer. Math. Monthly 72 (1965), pp. 725-729. MR 0183819, 10.1080/00029890.1965.11970598
Reference: [2] Dasgupta M.: On some properties of the Cantor set and the construction of a class of sets with Cantor set properties.Czechoslovak Mathematical Journal 24 (99), 1974 Praha, pp. 416-423. Zbl 0309.28005, MR 0366673
Reference: [3] Ganguly D. K., Bose Majumdar N. C: On some functions connected with Cantor set.Bull. Math, de la See. Sci. Math, de la R. S. R. (to appear). Zbl 0368.28001
Reference: [4] Kinney J. R.: A thin set of lines.Israel J. Math. 8 (1970), pp. 97- 102. Zbl 0213.07605, MR 0265534, 10.1007/BF02771304
Reference: [5] Randolph J. F.: Distance between points of the Cantor set.Amer. Math. Monthly 47 (1940), pp. 549-551. MR 1524942, 10.2307/2303836
Reference: [6] Steinhaus H.: Nowa vlastnose mnogosci G. Cantora.Wektor (1917), pp. 105-107.
Reference: [7] Šalát T.: On the distance set of linear discontinuum I.(Russian), Časopis pro pěstování matematiky 87 (1962), pp. 4-16. MR 0180959
Reference: [8] Utz W. R.: The distance set for the Cantor discontinuum.Amer. Math. Monthly 58 (1951) pp. 407-408. Zbl 0043.05402, MR 1527894, 10.2307/2306554
Reference: [9] Hobson E. W.: The theorey of function of a real variable and the theory of Fourier series.Vol. I, Dover Publications, Inc. p. 243.
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