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 |
. |
Category:
|
math |
. |
MSC:
|
26A30 |
idZBL:
|
Zbl 0408.04001 |
idMR:
|
MR0492114 |
DOI:
|
10.21136/CMJ.1978.101542 |
. |
Date available:
|
2008-06-09T14:29:04Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101542 |
. |
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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