The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)
- Volume 14 Issue 1 Serial No. 35
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- Pages.1-5
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- 2007
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
TOPOLOGICAL MAGNITUDE OF A SPECIAL SUBSET IN A SELF-SIMILAR CANTOR SET
- Baek, In-Soo (DEPARTMENT OF MATHEMATICS, PUSAN UNIVERSITY OF FOREIGN STUDIES)
- Published : 2007.02.28
Abstract
We study the topological magnitude of a special subset from the distribution subsets in a self-similar Cantor set. The special subset whose every element has no accumulation point of a frequency sequence as some number related to the similarity dimension of the self-similar Cantor set is of the first category in the self-similar Cantor set.