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The Dense Fractal Sets with the Hausdorff Dimension
Received:January 09, 2001
Key Words
:
Cantor-type set
Hausdorff dimension
Hausdorff measure.
Fund Project
:
Author Name
Affiliation
LU Shi-pan
Dept. of Math.
Teachers' College
Jimei University
Xiamen
China
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:
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:
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Abstract
:
In this paper, for any given s (0 ≤s≤1), we construct a Cantor-type set E
s
such that dim
H
E
s
=s and Es is dense in [0,1].
Citation:
DOI
:
10.3770/j.issn:1000-341X.2003.03.005
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