Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Partitions of the plane into sets having positive measure in every non-null measurable product set


Authors: Paul Erdős and John C. Oxtoby
Journal: Trans. Amer. Math. Soc. 79 (1955), 91-102
MSC: Primary 28.0X
DOI: https://doi.org/10.1090/S0002-9947-1955-0072928-3
MathSciNet review: 0072928
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] P. R. Halmos, On a theorem of Dieudonné, Proc. Nat. Acad. Sci. U.S.A. vol. 35 (1949) pp. 38-42. MR 0027832 (10:360f)
  • [2] H. Helson, Remark on measures in almost-independent fields, Studia Mathematica vol. 10 (1948) pp. 182-183. MR 0029423 (10:600d)
  • [3] C. Kuratowski, Topologie I, 2d ed., Warszawa-Wrocław, 1948, and Topologie II, 1950. MR 0028007 (10:389b)
  • [4] D. Maharam, On homogeneous measure algebras, Proc. Nat. Acad. Sci. U.S.A. vol. 28 (1942) pp. 108-111. MR 0006595 (4:12a)
  • [5] K. Mayrhofer, Inhalt und Mass, Vienna, 1952. MR 0053185 (14:733h)
  • [6] J. C. Oxtoby and S. M. Ulam, Measure-preserving homeomorphisms and metrical transitivity, Ann. of Math. vol. 42 (1941) pp. 874-920. MR 0005803 (3:211b)
  • [7] I. E. Segal, Equivalences of measure spaces, Amer. J. Math. vol. 73 (1951) pp. 275-313. MR 0041191 (12:809f)
  • [8] H. Steinhaus, Sur les distances des points des ensembles de mesure positive, Fund. Math. vol. 1 (1920) pp. 93-104.
  • [9] A. Weil, L'intégration dans les groupes topologiques et ses applications, Actualités Scientifiques et Industrielles, no. 869, Paris, 1940.

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 28.0X

Retrieve articles in all journals with MSC: 28.0X


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1955-0072928-3
Article copyright: © Copyright 1955 American Mathematical Society

American Mathematical Society