| Title:
|
On transformations of sets in ${\Bbb R}^n$ (English) |
| Author:
|
Miller, Harry I. |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
106 |
| Issue:
|
4 |
| Year:
|
1981 |
| Pages:
|
422-430 |
| . |
| Category:
|
math |
| . |
| MSC:
|
28A05 |
| idZBL:
|
Zbl 0475.28002 |
| idMR:
|
MR637823 |
| DOI:
|
10.21136/CPM.1981.108490 |
| . |
| Date available:
|
2009-09-23T09:12:28Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108490 |
| . |
| Reference:
|
[1] Das Gupta M.: On some properties of sets with positive measure.Bull. Cal. Math. Soc., V. 60, no. 1 and 2, 1968, 48-51. Zbl 0203.35904, MR 0257308 |
| Reference:
|
[2] Halmos P. R.: Measure Theory.D. Van Nostrand Co., Inc, 1950, New York. Zbl 0040.16802, MR 0033869 |
| Reference:
|
[3] Hausdorff F.: Set Theory.Chelsea Publishing Co., 1957, New York. Zbl 0081.04601, MR 0086020 |
| Reference:
|
[4] Khan T. K., Pal M.: Some results on sets of positive measure.Glasnik Мat., (to appear). Zbl 0471.28001, MR 0634293 |
| Reference:
|
[5] Mazumdar A.: Some properties of sets with positive measure.(in preparation). |
| Reference:
|
[6] Miller H. L.: Relationships between various gauges of the size of sets of real numbers.Glasnik Matematički, 9 (29), (1974), 59-64. Zbl 0283.28014, MR 0422548 |
| Reference:
|
[7] Miller H. I., Xenikakis P. J.: Some results connected with a problem of Erdös.Akad. Nauka i Umjet. Bosne i Hercegov. Rad. Odjelj. Prirod. Mat. Nauka, LXVI, (19), 1980, 71-75. MR 0590298 |
| Reference:
|
[8] Miller H. L.: An analogue of a theorem of Caratheodory.Čas. pěst. mat. 106 (1981), 38-41. MR 0613703 |
| Reference:
|
[9] Miller H. L.: On a paper of Saha and Ray.Publ. Inst. Мath. 27 (41), 1980, 175-178. Zbl 0472.28003, MR 0621949 |
| Reference:
|
[10] Neubrunn T., Šalat T.: Distance sets, ratio sets and certain transformations of sets of real numbers.Čas. pěst. mat., 94 (1969), 381-393. Zbl 0188.11501, MR 0257309 |
| Reference:
|
[11] Oxtoby J. C.: Measure and Category.Springer-Verlag, 1970, New York. MR 0584443 |
| Reference:
|
[12] Pal M.: On certain transformations of sets in RN.Acta Facultatis Rerum Naturalium Universitatis Comenianae Мathematica, XXIX, (1974), 43-53. MR 0377024 |
| Reference:
|
[13] Piccard S.: Sur les ensemble de distances des ensembles de points d'un espace Euclidien.Neuchatel, 1933. |
| Reference:
|
[14] Ray K. C.: On sets of positive measure under certain transformations.Bull. Math., tome 7 (55) nr. 3-4, (1963), 225-230. Zbl 0138.03701, MR 0190285 |
| Reference:
|
[15] Saha N. G., Ray K. C.: On sets under certain transformations in RN.Publ. Inst. Math., 22(36), 1977, 237-244. MR 0486381 |
| Reference:
|
[16] Sander W.: Verallgemeinerungen eines Satzes von S. Piccard.Manuscripta Math. 16, (1975), fascl. 1, 11-25. Zbl 0312.54018, MR 0372814 |
| . |
