On some properties of the Cantor set and the construction of a class of sets with Cantor set properties

Maitreyee Dasgupta

Czechoslovak Mathematical Journal (1974)

  • Volume: 24, Issue: 3, page 416-423
  • ISSN: 0011-4642

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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 24.3 (1974): 416-423. <http://eudml.org/doc/12805>.

@article{Dasgupta1974,
author = {Dasgupta, Maitreyee},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {3},
pages = {416-423},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On some properties of the Cantor set and the construction of a class of sets with Cantor set properties},
url = {http://eudml.org/doc/12805},
volume = {24},
year = {1974},
}

TY - JOUR
AU - Dasgupta, Maitreyee
TI - On some properties of the Cantor set and the construction of a class of sets with Cantor set properties
JO - Czechoslovak Mathematical Journal
PY - 1974
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 24
IS - 3
SP - 416
EP - 423
LA - eng
UR - http://eudml.org/doc/12805
ER -

References

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  2. Bose Majumder N. C., On the distance set of the Cantor middle third set, Bull. Cal. Math. Soc., 51 (1959), p. 93. (1959) MR0112113
  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. (1962) Zbl0114.38603MR0167950
  4. Bose Majumder N. C., 10.1080/00029890.1965.11970598, III, Amer. Math. Monthly, 72 (1965), p. 725. (1965) Zbl0154.05403MR0183819DOI10.1080/00029890.1965.11970598
  5. Erdös P., Kakutani S., On a perfect set, Coll. Math., IV, 2 (1957). (1957) MR0089886
  6. Kinney J. R., 10.1007/BF02771304, Israel J. Math., 8 (1970), p. 97. (1970) Zbl0213.07605MR0265534DOI10.1007/BF02771304
  7. Marczewski E., [unknown], Coll. Math., (1955), p. 125. (1955) Zbl0066.29901
  8. Randolph J. F., 10.2307/2303836, Amer. Math. Monthly, 47 (1940), p. 549. (1940) MR1524942DOI10.2307/2303836
  9. Randolph J. F., Real and abstract analysis, Academic Press, N. Y. (1968), p. 101. (1968) Zbl0165.37201MR0225618
  10. Šalát T., On the distance set of linear discontinuum I, (Russian), Časopis pro pěstování matematiky, 87 (1962), p. 4. (1962) MR0180959
  11. Sierpiński W., On the congruence of sets and their equivalence by finite decomposition, Lucknow University Studies (1954). (1954) MR0060567
  12. Steinhaus H., Nowa vlastnośc mnogości G. Cantora, Wektor (1917), p. 105. (1917) 
  13. Steinhaus H., 10.4064/fm-1-1-93-104, Fundam. Math., 1 (1920), p. 93. (1920) MR0065059DOI10.4064/fm-1-1-93-104
  14. Utz W. R., 10.2307/2306554, Amer. Math. Monthly, 58 (1951), p. 407. (1951) Zbl0043.05402MR1527894DOI10.2307/2306554

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