FIBONACCI SEQUENCE AND CANTOR'S TERNARY SET

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.
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
Download PDF Full-Text

主管单位:国家教育部 主办单位:复旦大学 地址:220 Handan Road, Fudan University, Shanghai, China E-mail:edcam@fudan.edu.cn

本系统由北京勤云科技发展有限公司提供技术支持