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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
60巻
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
English
著作権者
Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University
論文のバージョン
publisher
査読
有り
Submission Path
mjou/vol59/iss1/1