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Monotone maps of $G$-like continua with positive topological entropy yield indecomposability
http://hdl.handle.net/2241/00159474
http://hdl.handle.net/2241/0015947474c5c3f4-ba1d-4a0c-bb73-13928bbb8eb5
名前 / ファイル | ライセンス | アクション |
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PAMS_147-10 (223.0 kB)
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Item type | Journal Article(1) | |||||
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公開日 | 2020-01-23 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Monotone maps of $G$-like continua with positive topological entropy yield indecomposability | |||||
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 |
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 the previous paper Adv. Math. 304 (2017), pp. 793-808, we proved that if for any graph $ G$, a homeomorphism on a $ G$-like continuum $ X$ has positive topological entropy, then the continuum $ X$ contains an indecomposable subcontinuum. Also, if for a tree $ G$, a monotone map on a $ G$-like continuum $ X$ has positive topological entropy, then the continuum $ X$ contains an indecomposable subcontinuum. In this note, we extend these results. In fact, we prove that if for any graph $ G$, a monotone map on a $ G$-like continuum $ X$ has positive topological entropy, then the continuum $ X$ contains an indecomposable subcontinuum. Also we study topological entropy of monotone maps on Suslinean continua. | |||||
書誌情報 |
en : Proceedings of the American Mathematical Society 巻 147, 号 10, p. 4363-4370, 発行日 2019-10 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0002-9939 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00781790 | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | 10.1090/proc/14602 | |||||
権利 | ||||||
権利情報 | ©2019 American Mathematical Society | |||||
著者版フラグ | ||||||
値 | author | |||||
出版者 | ||||||
出版者 | American Mathematical Society |