On some properties of the metric dimension
Mišík, Ladislav ; Žáčik, Tibor
Commentationes Mathematicae Universitatis Carolinae, Tome 031 (1990), p. 781-791 / Harvested from Czech Digital Mathematics Library
Publié le : 1990-01-01
Classification:  51K99,  54D20,  54F45
@article{106914,
     author = {Ladislav Mi\v s\'\i k and Tibor \v Z\'a\v cik},
     title = {On some properties of the metric dimension},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {031},
     year = {1990},
     pages = {781-791},
     zbl = {0717.54017},
     mrnumber = {1091376},
     language = {en},
     url = {http://dml.mathdoc.fr/item/106914}
}
Mišík, Ladislav; Žáčik, Tibor. On some properties of the metric dimension. Commentationes Mathematicae Universitatis Carolinae, Tome 031 (1990) pp. 781-791. http://gdmltest.u-ga.fr/item/106914/

Bakhtin V. I. Properties of the entropy and Hausdorff dimension (in Russian), Vestnik Moskov. Univ. Ser. 1 Mat. Meh. 15 (1982), 25-29. (1982) | MR 0679473

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) | MR 0064849

Cajar H.; Sandan K. Perfekte Mengen mit unterschiedlicher Hausdorff und unterer metrischer Dimension, Arch. Math. 45 (1985), 21-33. (1985) | MR 0799446

Hawkes J. Hausdorff measure, entropy, and the independence of small sets, Proc. London Math. Soc. (3) 28 (1974), 700-724. (1974) | MR 0352412 | Zbl 0315.28001

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) | MR 0112032

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) | MR 0654892

Prosser R. T. Note on metric dimension, Proc. Amer. Math. Soc. 25 (1970), 763-765. (1970) | MR 0259873 | Zbl 0197.19303

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) | MR 1503042

Palis J.; Takens F. Hyperbolicity and the creation of homoclinic orbits, Annals of Mathematics 125 (1987), 337-374. (1987) | MR 0881272 | Zbl 0641.58029

Vosburg A. C. On the relationship between Hausdorff dimension and metric dimension, Pacific J. Math. 23 (1967), 183-187. (1967) | MR 0217776 | Zbl 0153.24701

Yomdin Y. The geometry of critical and near-critical values of differentiable mappings, Math. Ann. 264 (1983), 495-515. (1983) | MR 0716263 | Zbl 0507.57019