Geodesic
On transformations of sets in ${\Bbb R}^n$
Časopis pro pěstování matematiky, Tome 106 (1981) no. 4, pp. 422-430

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DOI : 10.21136/CPM.1981.108490
Classification : 28A05 
Miller, Harry I. On transformations of sets in ${\Bbb R}^n$. Časopis pro pěstování matematiky, Tome 106 (1981) no. 4, pp. 422-430. doi: 10.21136/CPM.1981.108490
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     zbl = {0475.28002},
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     url = {http://geodesic.mathdoc.fr/articles/10.21136/CPM.1981.108490/}
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[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. | MR | Zbl

[2] Halmos P. R.: Measure Theory. D. Van Nostrand Co., Inc, 1950, New York. | MR | Zbl

[3] Hausdorff F.: Set Theory. Chelsea Publishing Co., 1957, New York. | MR | Zbl

[4] Khan T. K., Pal M.: Some results on sets of positive measure. Glasnik Мat., (to appear). | MR | Zbl

[5] Mazumdar A.: Some properties of sets with positive measure. (in preparation).

[6] Miller H. L.: Relationships between various gauges of the size of sets of real numbers. Glasnik Matematički, 9 (29), (1974), 59-64. | MR | Zbl

[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

[8] Miller H. L.: An analogue of a theorem of Caratheodory. Čas. pěst. mat. 106 (1981), 38-41. | MR

[9] Miller H. L.: On a paper of Saha and Ray. Publ. Inst. Мath. 27 (41), 1980, 175-178. | MR | Zbl

[10] Neubrunn T., Šalat T.: Distance sets, ratio sets and certain transformations of sets of real numbers. Čas. pěst. mat., 94 (1969), 381-393. | MR | Zbl

[11] Oxtoby J. C.: Measure and Category. Springer-Verlag, 1970, New York. | MR

[12] Pal M.: On certain transformations of sets in RN. Acta Facultatis Rerum Naturalium Universitatis Comenianae Мathematica, XXIX, (1974), 43-53. | MR

[13] Piccard S.: Sur les ensemble de distances des ensembles de points d'un espace Euclidien. Neuchatel, 1933.

[14] Ray K. C.: On sets of positive measure under certain transformations. Bull. Math., tome 7 (55) nr. 3-4, (1963), 225-230. | MR | Zbl

[15] Saha N. G., Ray K. C.: On sets under certain transformations in RN. Publ. Inst. Math., 22(36), 1977, 237-244. | MR

[16] Sander W.: Verallgemeinerungen eines Satzes von S. Piccard. Manuscripta Math. 16, (1975), fascl. 1, 11-25. | MR | Zbl

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