| Title:
|
A simplified formula for calculation of metric dimension of converging sequences (English) |
| Author:
|
Žáčik, Tibor |
| Author:
|
Mišík, Ladislav |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
55 |
| Issue:
|
3 |
| Year:
|
2005 |
| Pages:
|
363-372 |
| . |
| Category:
|
math |
| . |
| MSC:
|
40A05 |
| MSC:
|
54F50 |
| idZBL:
|
Zbl 1109.54024 |
| idMR:
|
MR2181012 |
| . |
| Date available:
|
2009-09-25T14:26:53Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130558 |
| . |
| Reference:
|
[BT] BESICOVITCH A. S.-TAYLOR S. J. : On the complementary intervals of a linear closed sets of zero Lebesgue measure.J. London Math. Soc. 29 (1954), 449-459. MR 0064849 |
| Reference:
|
[H] HAWKES J.: Hausdorff measure, entropy and the independents of small sets.Proc. London Math. Soc. (3) 28 (1974), 700-724. MR 0352412 |
| Reference:
|
[KA] KOCAK S.-AZCAN H.: Fractal dimensions of some sequences of real numbers.Doga Mat. 17 (1993), 298-304. Zbl 0857.40002, MR 1255026 |
| Reference:
|
[KT] KOLMOGOROV A. N.-TIKHOMIROV V. M.: $\epsilon$-entropy and $\epsilon$ -capacity of sets in functional spaces.Uspekhi Mat. Nauk 14 (1959), 3 86 (Russian); In: Amer. Math. Soc. Transl. Ser. 2 Vol. 17, Amer. Math. Soc, Providence, RI, 1961, pp. 277-364. MR 0112032 |
| Reference:
|
[MZ1] MIŠÍK L.-ŽÁČIK T.: On some properties of the metric dimension.Comment. Math. Univ. Carolin. 31 (1990), 781-791. Zbl 0717.54017, MR 1091376 |
| Reference:
|
[MZ2] MIŠÍK L.-ŽÁČIK T.: A formula for calculation of metric dimension of converging sequences.Comment. Math. Univ. Carolin. 40 (1999), 393-401. Zbl 0976.54035, MR 1732660 |
| Reference:
|
[PS] PONTRYAGIN L. S.-SNIRELMAN L. G.: Sur une propriete metrique de la dimension.Ann. of Math. (2) 33 (1932), 156-162 (Appendix to the Russian translation of Dimension Theory by W. Hurewitcz and H. Wallman, Izdat. Inostr. Lit., Moscow, 1948). Zbl 0003.33101, MR 1503042 |
| . |
