| FIBONACCI SEQUENCE AND CANTOR＇S TERNARY SET |
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| 作者姓名： | Tong Jingcheng Samons J. |
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| 作者单位： | DepartmentofMathematics＆Statistics,UniversityofNorthFloridaJacksonville,Florida32224,U.S.A. |
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| 摘 要： | Let N be the set of positive integers and C be Cantor‘s ternary set.A function ζ：N→0，1] is established by the help of the Fibonacci sequence such that —↑ζ（N），the closure of the set ζ（N）,is homeomorphic to the set C.
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| 关 键 词： | 斐波纳契数列 康托三等分集 同胚性 初等数论 自然数 |
| 收稿时间： | 1994/9/12 0:00:00 |
| 修稿时间： | 1996/12/15 0:00:00 |
FIBONACCI SEQUENCE AND CANTOR'S TERNARY SET |
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| Tong Jingcheng,Samons,J..FIBONACCI SEQUENCE AND CANTOR''S TERNARY SET[J].Chinese Annals of Mathematics,Series B,1998,19(1):129-132. |
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| Authors: | Tong Jingcheng and Samons J |
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| Institution: | Department of Mathematics \& Statistics, University of
North Florida Jacksonville, Florida 32224, U.S.A. and Department of Mathematics \& Statistics, University of
North Florida Jacksonville, Florida 32224, U.S.A. |
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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 $\bc$. |
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| Keywords: | Fibonacci sequence Cantor's ternary set Homeomorphic |
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