Some results on sets of positive measure in a metric space
Czechoslovak Mathematical Journal, Tome 49 (1999) no. 4, pp. 701-706 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 28A05, 28C15
@article{CMJ_1999_49_4_a3,
     author = {Ganguly, D. K. and Ray, S. and Majumdar, M.},
     title = {Some results on sets of positive measure in a metric space},
     journal = {Czechoslovak Mathematical Journal},
     pages = {701--706},
     year = {1999},
     volume = {49},
     number = {4},
     mrnumber = {1746698},
     zbl = {1005.28002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_1999_49_4_a3/}
}
TY  - JOUR
AU  - Ganguly, D. K.
AU  - Ray, S.
AU  - Majumdar, M.
TI  - Some results on sets of positive measure in a metric space
JO  - Czechoslovak Mathematical Journal
PY  - 1999
SP  - 701
EP  - 706
VL  - 49
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/CMJ_1999_49_4_a3/
LA  - en
ID  - CMJ_1999_49_4_a3
ER  - 
%0 Journal Article
%A Ganguly, D. K.
%A Ray, S.
%A Majumdar, M.
%T Some results on sets of positive measure in a metric space
%J Czechoslovak Mathematical Journal
%D 1999
%P 701-706
%V 49
%N 4
%U http://geodesic.mathdoc.fr/item/CMJ_1999_49_4_a3/
%G en
%F CMJ_1999_49_4_a3
Ganguly, D. K.; Ray, S.; Majumdar, M. Some results on sets of positive measure in a metric space. Czechoslovak Mathematical Journal, Tome 49 (1999) no. 4, pp. 701-706. http://geodesic.mathdoc.fr/item/CMJ_1999_49_4_a3/

[1] 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. | DOI | MR

[2] E. Boardman: On extensions of the Steinhaus theorem for distance sets and difference sets. Jour. Lond. Math. Soc. (2) 5 (1972), 729–739. | DOI | MR | Zbl

[3] B. K. Lahiri: On transformations of sets of positive linear measure. Riv. Univ. Parma 4 (1981), 7, 43. | MR | Zbl

[4] M. E. Munroe: Introduction to Measure Theory and Integration. Addison-Wesley, 1959.

[5] C. A. Rogers: Hausdorff Measure. Cambridge University Press, 1970. | MR

[6] M. S. Ruziewicz: Contribution à l’etude des ensembles de distances de points. Fund. Math. 7 (1925), 141–143. | DOI

[7] H. Steinhaus: Sur les distances des points des ensembles de measure positive. Fund. Math. 1 (1920), 93–104. | DOI