| ID | 56008 |
| フルテキストURL | |
| 著者 |
Hemmi, Yutaka
Department of Mathematics Faculty of Science and Technology Kochi University
|
| 抄録 | Higher homotopy in the theory of H-spaces started from the works by Sugawara in the 1950th. In this paper we review the development of the theory of H-spaces associated with it. Mainly there are two types of higher homotopies, homotopy associativity and homotopy commutativity. We give explanations of the polytopes used as the parameter spaces of those higher forms.
|
| キーワード | H-space
higher homotopy associativity
An-form
higher homotopy commutativity
associahedra
multiplihedra
permutohedra
resultohedra
permuto-associahedra
cyclohedra
|
| 備考 | Mathematics Subject Classi cation. Primary 55P45; Secondary 55P35, 55P48, 55R35,
51M20.
|
| 発行日 | 2018-01
|
| 出版物タイトル |
Mathematical Journal of Okayama University
|
| 巻 | 60巻
|
| 号 | 1号
|
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University
|
| 開始ページ | 1
|
| 終了ページ | 36
|
| ISSN | 0030-1566
|
| NCID | AA00723502
|
| 資料タイプ |
学術雑誌論文
|
| オフィシャル URL | http://www.math.okayama-u.ac.jp/mjou/
|
| 言語 |
英語
|
| 著作権者 | Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University
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| 論文のバージョン | publisher
|
| 査読 |
有り
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| Submission Path | mjou/vol59/iss1/1
|
