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International Conference on Topology and its Applications
August 23-27, 1999
Kanagawa University
Yokohama, Japan

Organizers
Yukinobu Yajima, the chairman, Masami Sakai, the vice-chairman, Yoshihiro Abe, Kazuhiro Sakai, Toshiji Terada, Kenichi Tamano, Akio Kato, Takao Hoshina, Hisao Kato, Kazuhiro Kawamura, Akira Koyama, Tsugunori Nogura

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The Hausdorff and the packing dimensions of some dynamical systems.
by
Masakazu Tamashiro
Department of Mathematics, Mie University, Kamihama 1515, Tsu, 514-8567 JAPAN

It is well known that the Hausdorff dimension of the middle-third Cantor set coincide with to the packing dinmension and they are equal to \fraclog2log3. Also it is well known that generally the Hausdorff dimension is less equal than the packing dimension. We give an example of the Cantor set which the Hausdorff dimensin does not coincide with the packing dimension.

Date received: June 28, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caby-25.