On some properties of the metric dimension

 Access to full text

 Full (PDF)

1. Bakhtin V. I., Properties of the entropy and Hausdorff dimension (in Russian), Vestnik Moskov. Univ. Ser. 1 Mat. Meh. 15 (1982), 25-29. (1982) MR0679473
2. Besicovitch A. S., Taylor S. J., On the complementary intervals of a linear closed sets of zero Lebesgue measure, L. London Math. Soc. 29 (1954), 449-459. (1954) MR0064849
3. Cajar H., Sandan K., Perfekte Mengen mit unterschiedlicher Hausdorff und unterer metrischer Dimension, Arch. Math. 45 (1985), 21-33. (1985) MR0799446
4. Hawkes J., Hausdorff measure, entropy, and the independence of small sets, Proc. London Math. Soc. (3) 28 (1974), 700-724. (1974) Zbl0315.28001MR0352412
5. Kolmogorov A. N., Tihomirov V. M., e-entropy and e-capacity of sets in functional spaces (in Russian), Usp. Mat. Nauk 14 (1959), 3-86; Am. Math. Soc. Transl. IT (1961), 277-364. (1959) MR0112032
6. Maňé R., On the dimension of the compact invariant sets of certain nonlinear maps, "Dynamical Systems and Turbulence", Warwick 1980 (Coventry 1979/1980), Lecture Notes in Math. 898, Springer, Berlin - New York 1981, 230-242. (1980) MR0654892
7. Prosser R. T., Note on metric dimension, Proc. Amer. Math. Soc. 25 (1970), 763-765. (1970) Zbl0197.19303MR0259873
8. Pontryagin L. S., Snirelman L. G., Sur une proprieie metrique de la dimension, Annals of Math. 33 (1932), 156-162. Appendix to the Russian translation of "Dimension Theory" by W. Hurewitcz and H. Wallman, Izdat. Inostr. Lit. Moscow, 1948. (1932) MR1503042
9. Palis J., Takens F., Hyperbolicity and the creation of homoclinic orbits, Annals of Mathematics 125 (1987), 337-374. (1987) Zbl0641.58029MR0881272
10. Vosburg A. C., On the relationship between Hausdorff dimension and metric dimension, Pacific J. Math. 23 (1967), 183-187. (1967) Zbl0153.24701MR0217776
11. Yomdin Y., The geometry of critical and near-critical values of differentiable mappings, Math. Ann. 264 (1983), 495-515. (1983) Zbl0507.57019MR0716263

1. Ladislav, Jr. Mišík, Tibor Žáčik, A formula for calculation of metric dimension of converging sequences
2. Tibor Žáčik, On some approximation properties of the metric dimension
3. Tibor Žáčik, Ladislav Mišík, A simplified formula for calculation of metric dimension of converging sequences
4. Ladislav, Jr. Mišík, Tibor Žáčik, On the metric dimension of converging sequences