| ID | 56008 |
| FullText URL | |
| Author |
Hemmi, Yutaka
Department of Mathematics Faculty of Science and Technology Kochi University
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| Abstract | 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.
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| Keywords | H-space
higher homotopy associativity
An-form
higher homotopy commutativity
associahedra
multiplihedra
permutohedra
resultohedra
permuto-associahedra
cyclohedra
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| Note | Mathematics Subject Classi cation. Primary 55P45; Secondary 55P35, 55P48, 55R35,
51M20.
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| Published Date | 2018-01
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| Publication Title |
Mathematical Journal of Okayama University
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| Volume | volume60
|
| Issue | issue1
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| Publisher | Department of Mathematics, Faculty of Science, Okayama University
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| Start Page | 1
|
| End Page | 36
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| ISSN | 0030-1566
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| NCID | AA00723502
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| Content Type |
Journal Article
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| Official Url | http://www.math.okayama-u.ac.jp/mjou/
|
| language |
English
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| Copyright Holders | Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University
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| File Version | publisher
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| Refereed |
True
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| Submission Path | mjou/vol59/iss1/1
|
