The Dense Fractal Sets with the Hausdorff Dimension
Received:January 09, 2001  
Key Words: Cantor-type set   Hausdorff dimension   Hausdorff measure.  
Fund Project:
Author NameAffiliation
LU Shi-pan Dept. of Math.
Teachers' College
Jimei University
Xiamen
China 
Hits: 2154
Download times: 1178
Abstract:
      In this paper, for any given s (0 ≤s≤1), we construct a Cantor-type set Es such that dimH Es=s and Es is dense in [0,1].
Citation:
DOI:10.3770/j.issn:1000-341X.2003.03.005
View Full Text  View/Add Comment  
  Copyright © Journal of Mathematical Research with Applications
Sponsored by：Dalian University of Technology, China Society for Industrial and Applied Mathematics
Address：No.2 Linggong Road, Ganjingzi District, Dalian City, Liaoning Province, P. R. China , Postal code ：116024
Service Tel：86-411-84707392 Email：jmre@dlut.edu.cn
Designed by Beijing E-tiller Co.,Ltd.
Due to security factors, early browsers cannot log in. It is recommended to log in with IE10, IE11, Google, Firefox, and 360 new browsers.