Geodesic
On some properties of the Cantor set and the construction of a class of sets with Cantor set properties
Czechoslovak Mathematical Journal, Tome 24 (1974) no. 3, pp. 416-423
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DOI : 10.21136/CMJ.1974.101256
Classification : 04A15 
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Dasgupta, Maitreyee. On some properties of the Cantor set and the construction of a class of sets with Cantor set properties. Czechoslovak Mathematical Journal, Tome 24 (1974) no. 3, pp. 416-423. doi: 10.21136/CMJ.1974.101256

[1] Boas R. P., Jr.: The distance set of the Cantor set. Bull. Cal. Math. Soc., 54 (1962), p. 103. | MR | Zbl

[2] Bose Majumder N. C.: On the distance set of the Cantor middle third set. Bull. Cal. Math. Soc., 51 (1959), p. 93. | MR

[3] Bose Majumder N. C.: A Study of certain properties of the Cantor set and of an SD-set. Bull. Cal. Math. Soc., 54, 1, March (1962), p. 8. | MR | Zbl

[4] Bose Majumder N. C.: On the distance set of the Cantor middle third set. III, Amer. Math. Monthly, 72 (1965), p. 725. | DOI | MR | Zbl

[5] Erdös P., Kakutani S.: On a perfect set. Coll. Math., IV, 2 (1957). | MR

[6] Kinney J. R.: A thin set of lines. Israel J. Math., 8 (1970), p. 97. | DOI | MR | Zbl

[7] Marczewski E.: Coll. Math., (1955), p. 125. | Zbl

[8] Randolph J. F.: Distances between points of the Cantor set. Amer. Math. Monthly, 47 (1940), p. 549. | DOI | MR

[9] Randolph J. F.: Real and abstract analysis. Academic Press, N. Y. (1968), p. 101. | MR | Zbl

[10] Šalát T.: On the distance set of linear discontinuum I. (Russian), Časopis pro pěstování matematiky, 87 (1962), p. 4. | MR

[11] Sierpiński W.: On the congruence of sets and their equivalence by finite decomposition. Lucknow University Studies (1954). | MR

[12] Steinhaus H.: Nowa vlastnośc mnogości G. Cantora. Wektor (1917), p. 105.

[13] Steinhaus H.: Sur les distances des points des ensembles de mesure positive. Fundam. Math., 1 (1920), p. 93. | DOI | MR

[14] Utz W. R.: The distance set for the Cantor discontinuum. Amer. Math. Monthly, 58 (1951), p. 407. | DOI | MR | Zbl

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