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Dynamical systems of finite-dimensional metric spaces and zero-dimensional covers
http://hdl.handle.net/2241/118738
http://hdl.handle.net/2241/118738897389cc-09c5-4c7f-887c-d40706e52faa
名前 / ファイル | ライセンス | アクション |
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TIA_160-3l.pdf (116.2 kB)
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Item type | Journal Article(1) | |||||
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公開日 | 2013-03-26 | |||||
タイトル | ||||||
タイトル | Dynamical systems of finite-dimensional metric spaces and zero-dimensional covers | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Ikegami, Yuki
× Ikegami, Yuki× Kato, Hisao× Ueda, Akihide |
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著者別名 |
加藤, 久男
× 加藤, 久男 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | In this paper, we assume that dimensions mean the large inductive dimension Ind and the covering dimension dim. It is well known that View the MathML source for each metric space X. J. Kulesza (1995) [7] proved the theorem that every compact metric n-dimensional dynamical system with zero-dimensional set of periodic points can be covered by a compact metric zero-dimensional dynamical system via an at most (n+1)n-to-one map. In this paper, we generalize Kuleszaʼs theorem above to the case of arbitrary metric spaces, and improve the theorem. In fact, we prove that every metric n-dimensional dynamical system with zero-dimensional set of periodic points can be covered by a metric zero-dimensional dynamical system via an at most 2n-to-one closed map. Moreover, we also study periodic dynamical systems. We show that each finite-dimensional periodic dynamical system can be covered by a zero-dimensional periodic dynamical system via a finite-to-one closed onto map. | |||||
書誌情報 |
Topology and its applications 巻 160, 号 3, p. 564-574, 発行日 2013-02 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0166-8641 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00459572 | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | 10.1016/j.topol.2013.01.010 | |||||
権利 | ||||||
権利情報 | © 2013 Elsevier B.V. NOTICE: this is the author's version of a work that was accepted for publication in Topology and its Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Topology and its Applications, Vol.160 Issue3, Pages:564-574. doi:10.1016/j.topol.2013.01.010. |
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著者版フラグ | ||||||
値 | author | |||||
出版者 | ||||||
出版者 | Elsevier | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2241/118738 | |||||
識別子タイプ | HDL |