| ID | 66005 |
| フルテキストURL | |
| 著者 |
Maruyama, Takashi
Department of Engineering, Stanford University
Seto, Tatsuki
General Education and Research Center, Meiji Pharmaceutical University
|
| 抄録 | In this paper, we generalize the Cantor function to 2-dimensional cubes and construct a cyclic 2-cocycle on the Cantor dust. This cocycle is non-trivial on the pullback of the smooth functions on the 2-dimensional torus with the generalized Cantor function while it vanishes on the Lipschitz functions on the Cantor dust. The cocycle is calculated through the integration of 2-forms on the torus by using a combinatorial Fredholm module.
|
| キーワード | Fredholm module
Cantor dust
cyclic cocycle
|
| 備考 | Mathematics Subject Classification. Primary 46L87; Secondary 28A80.
|
| 発行日 | 2024-01
|
| 出版物タイトル |
Mathematical Journal of Okayama University
|
| 巻 | 66巻
|
| 号 | 1号
|
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University
|
| 開始ページ | 115
|
| 終了ページ | 124
|
| ISSN | 0030-1566
|
| NCID | AA00723502
|
| 資料タイプ |
学術雑誌論文
|
| 言語 |
英語
|
| 著作権者 | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University
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| 論文のバージョン | publisher
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| 査読 |
有り
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| Submission Path | mjou/vol66/iss1/8
|
