| Title:
|
Some results on sets of positive measure in a metric space (English) |
| Author:
|
Ganguly, D. K. |
| Author:
|
Ray, S. |
| Author:
|
Majumdar, M. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
49 |
| Issue:
|
4 |
| Year:
|
1999 |
| Pages:
|
701-706 |
| . |
| Category:
|
math |
| . |
| MSC:
|
28A05 |
| MSC:
|
28C15 |
| idZBL:
|
Zbl 1005.28002 |
| idMR:
|
MR1746698 |
| . |
| Date available:
|
2009-09-24T10:26:50Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127522 |
| . |
| Reference:
|
[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. MR 0690635, 10.1017/S0305004100027572 |
| Reference:
|
[2] E. Boardman: On extensions of the Steinhaus theorem for distance sets and difference sets.Jour. Lond. Math. Soc. (2) 5 (1972), 729–739. Zbl 0254.28001, MR 0311875, 10.1112/jlms/s2-5.4.729 |
| Reference:
|
[3] B. K. Lahiri: On transformations of sets of positive linear measure.Riv. Univ. Parma 4 (1981), 7, 43. Zbl 0489.28001, MR 0671353 |
| Reference:
|
[4] M. E. Munroe: Introduction to Measure Theory and Integration.Addison-Wesley, 1959. |
| Reference:
|
[5] C. A. Rogers: Hausdorff Measure.Cambridge University Press, 1970. MR 0281862 |
| Reference:
|
[6] M. S. Ruziewicz: Contribution à l’etude des ensembles de distances de points.Fund. Math. 7 (1925), 141–143. 10.4064/fm-7-1-141-143 |
| Reference:
|
[7] H. Steinhaus: Sur les distances des points des ensembles de measure positive.Fund. Math. 1 (1920), 93–104. 10.4064/fm-1-1-93-104 |
| . |
