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Issue:
AN ANSWER TO A CONJECTURE ON SELF-SIMILAR SETS
Author(s):
Baoguo Jia
,
Shaoyuan Xu
Pages:
9
-
15
Year:
2007
Issue:
1
Journal:
ANALYSIS IN THEORY AND APPLICATIONS
Keyword:
self-similar set
;
best covering
;
natural covering
;
Hausdorff measure
;
Abstract:
In this paper, we construct a self-similar set which has a best covering but it is not the natural covering, thus negate the conjecture on self-similar sets posed by Z. Zhou in 2004.
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