On the continuity of limit capacity of central cantor sets
DOI:
https://doi.org/10.22199/S07160917.1992.0002.00006Keywords:
Topología métrica, Cantor centrales, Hausdorff, LímitesAbstract
A metric topology is defined on the family of central Cantor sets (not necessarily proportionals). In this topology the Hausdorff dimension as well as the limit capacity depend continuously on the central Cantor set. An example of continuous arcs with CONSTANT limit capacity is given.References
[1] Hocking, J. & Young, G.: Topology. Addison- Wesley Series in Mathematics., 1961.
[2] Tricot, C.: Two definitions of fractional dimensions. Mathematical Proceedings of the Cambridge Philosophical Society. 91, 1982, pp 57-74.
[2] Tricot, C.: Two definitions of fractional dimensions. Mathematical Proceedings of the Cambridge Philosophical Society. 91, 1982, pp 57-74.
Published
2018-04-02
How to Cite
[1]
E. Muñoz M. and J. Vera V., “On the continuity of limit capacity of central cantor sets”, Proyecciones (Antofagasta, On line), vol. 11, no. 2, pp. 143-151, Apr. 2018.
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