References
A. S. Besicovitch, S. J. Taylor: On the set of distances between points of a general metric space. Proc. Camb. Phi. Soc. 48 (1952), 209–214.
E. Boardman: On extensions of the Steinhaus theorem for distance sets and difference sets. Jour. Lond. Math. Soc. (2) 5 (1972), 729–739.
B. K. Lahiri: On transformations of sets of positive linear measure. Riv. Univ. Parma 4 (1981), 7, 43.
M. E. Mnnroe: Introduction to Measure Theory and Integration. Addison-Wesley, 1959.
C. A. Rogers: Hausdorff Measure. Cambridge University Press, 1970.
M. S. Ruziewicz: Contribution à l'etude des ensembles de distances de points. Fund. Math. 7 (1925), 141–143.
H. Steinhaus: Sur les distances des points des ensembles de measure positive. Fund. Math. 1 (1920), 93–104.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ganguly, D.K., Ray, S. & Majumdar, M. Some Results on Sets of Positive Measure in a Metric Space. Czechoslovak Mathematical Journal 49, 701–706 (1999). https://doi.org/10.1023/A:1022440715120
Issue Date:
DOI: https://doi.org/10.1023/A:1022440715120