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FIBONACCI SEQUENCE AND CANTOR'S TERNARY SET |
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Citation: |
Tong Jingcheng,Samons, J..FIBONACCI SEQUENCE AND CANTOR'S TERNARY SET[J].Chinese Annals of Mathematics B,1998,19(1):129~132 |
Page view: 1224
Net amount: 696 |
Authors: |
Tong Jingcheng; Samons, J. |
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Abstract: |
Let $\bN$ be the set of positive integers and $\bc$ be Cantor's ternary set. A
function $\xi : \bN\to [0, 1]$ is established by the help of the Fibonacci sequence
such that $\overline{\nxi}$, the closure of the set $\nxi$, is homeomorphic to the
set $\bc$. |
Keywords: |
Fibonacci sequence, Cantor's ternary set, Homeomorphic |
Classification: |
54H05 |
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