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