International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 26359, 8 pages
doi:10.1155/IJMMS/2006/26359

Dimensions of subsets of cantor-type sets

Fang-Xiong Zhen

Department of Mathematics, Xianning College, Xianning, Hubei 437005, China

Received 15 March 2006; Accepted 9 July 2006

Copyright © 2006 Fang-Xiong Zhen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We define the Cantor-type set E first, and then the Besicovitch subset Bp of E. We mainly show the dimensions of subsets of Cantor-type set E in compatible case and incompatible case.