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An Arc as the inverse limit of a single bonding map of type N on [0,1] | |
Mo, H; Shi, SQ; Zeng, FP; Mai, JH | |
Source Publication | ACTA MATHEMATICA SINICA-ENGLISH SERIES |
2004-10-01 | |
Volume | 20Issue:5Pages:925-932 |
Subtype | Article |
Abstract | Let I = [0, 1], c(1), c(2) is an element of (0, 1) with c(1) < c(2) and f : I --> I be a continuous map satisfying: f \([0, c1]) and f\([c2, 1]) are both strictly increasing and f\([c1, c2]) is strictly decreasing. Let A = {x is an element of [0, c(1)]\f(x) = x}, a = maxA, a(1) = max(A\{a}), and B = {x is an element of [c(2), 1]\f(x) = x}, b=minB, b(1) =min(B\{b}). Then the inverse limit (1, f) is an arc if and only if one of the following three conditions holds: |
Keyword | Inverse Limit Arc Uninmodel Map Periodic Point |
WOS Headings | Science & Technology ; Physical Sciences |
Indexed By | SCI |
Language | 英语 |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000224806000017 |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.ia.ac.cn/handle/173211/9980 |
Collection | 09年以前成果 |
Affiliation | 1.Shanghai Univ Finance Econ, Dept Appl Math, Shanghai 200433, Peoples R China 2.Chinese Acad Sci, Inst Automat, Key Lab Complex Syst & Intelligent Sci, Beijing 100080, Peoples R China 3.Guangxi Univ, Inst Math, Nanning 530004, Peoples R China 4.Shantou Univ, Inst Math, Shantou 515062, Peoples R China |
Recommended Citation GB/T 7714 | Mo, H,Shi, SQ,Zeng, FP,et al. An Arc as the inverse limit of a single bonding map of type N on [0,1][J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2004,20(5):925-932. |
APA | Mo, H,Shi, SQ,Zeng, FP,&Mai, JH.(2004).An Arc as the inverse limit of a single bonding map of type N on [0,1].ACTA MATHEMATICA SINICA-ENGLISH SERIES,20(5),925-932. |
MLA | Mo, H,et al."An Arc as the inverse limit of a single bonding map of type N on [0,1]".ACTA MATHEMATICA SINICA-ENGLISH SERIES 20.5(2004):925-932. |
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