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Stable multigerms, simple multigerms and asymmetric Cantor sets
http://hdl.handle.net/10131/7368
http://hdl.handle.net/10131/7368e66f5b9d-cc07-43cb-b14e-7cef0b85c8a7
名前 / ファイル | ライセンス | アクション |
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CMAProc43_Nishimura.pdf (330.5 kB)
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Item type | 会議発表論文 / Conference Paper(1) | |||||
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公開日 | 2011-01-19 | |||||
タイトル | ||||||
タイトル | Stable multigerms, simple multigerms and asymmetric Cantor sets | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_5794 | |||||
資源タイプ | conference paper | |||||
著者 |
Nishimura, Takashi
× Nishimura, Takashi |
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著者(ヨミ) | ||||||
識別子Scheme | WEKO | |||||
識別子 | 217 | |||||
識別子Scheme | e-Rad | |||||
識別子URI | https://kaken.nii.ac.jp/ja/search/?qm= 80189307 | |||||
識別子 | 80189307 | |||||
姓名 | ニシムラ, タカシ | |||||
著者別名 | ||||||
識別子Scheme | WEKO | |||||
識別子 | 217 | |||||
識別子Scheme | e-Rad | |||||
識別子URI | https://kaken.nii.ac.jp/ja/search/?qm= 80189307 | |||||
識別子 | 80189307 | |||||
姓名 | 西村, 尚史 | |||||
著者所属 | ||||||
Department of Mathematics, Yokohama National University | ||||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | In this short note, we first show (1) if (n, p) lies inside Mather’s nice region then any A-stable multigerm f : (R^n, S)・(R^p, 0) and any C! unfolding of f are A-simple, and (2) for any (n, p) there exists a non-negative integer i such that for any integer j ((i・j)) there exists an A-stable multigerm f : (R^n・R^j, S ・ {0}) ・ (R^p ・ R^j , (0, 0)) which is not A-simple. Next, we obtain a characterization of curves among multigerms of corank at most one from the view point of A-stabie multigerms and A-simple multigerms. It turns out that for any (n, p) such that n < p an asymmetric Cantor set is naturally constructed by using upper bounds for multiplicities of A-stable multigerms and upper bounds for multiplicities of A-simple multigerms, and the desired characterization of curves can be obtained by cardinalities of constructed asymmetric Cantor sets. |
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書誌情報 |
Proceedings of the Centre for Mathematics and its Applications, Australian National University 巻 43, p. 75-81, 発行日 2010 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13285076 | |||||
ISBN | ||||||
識別子タイプ | ISBN | |||||
関連識別子 | 0731552075 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
出版者 | ||||||
出版者 | Centre for Mathematics and its Applications, Australian National University |