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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 PublicationACTA MATHEMATICA SINICA-ENGLISH SERIES
2004-10-01
Volume20Issue:5Pages:925-932
SubtypeArticle
AbstractLet 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:
KeywordInverse Limit Arc Uninmodel Map Periodic Point
WOS HeadingsScience & Technology ; Physical Sciences
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000224806000017
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/9980
Collection09年以前成果
Affiliation1.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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