|
|||||
|
|
|
|
|
|
|
|
|
Mod $p$ decompositions
of the loop spaces of compact symmetric spaces
Shizuo Kaji, Akihiro Ohsita and Stephen Theriault |
|
Algebraic & Geometric Topology 15 (2015) 1771–1811
|
Abstract |
|
We give –local homotopy decompositions of the loop spaces of compact, simply connected symmetric spaces for quasi-regular primes. The factors are spheres, sphere bundles over spheres and their loop spaces. As an application, upper bounds for the homotopy exponents are determined. |
PDF Access Denied
Warning: We have not been able to recognize your IP address 47.88.87.18 as that of a subscriber to this journal. Online access to the content of recent issues is by subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form.
Or, visit our subscription page for instructions on purchasing a subscription. You may also contact us at contact@msp.org or by using our contact form.
Or, you may purchase this single article for USD 29.95:
Keywords
homotopy decomposition, symmetric space, homotopy exponent
|
Mathematical Subject Classification 2010
Primary: 55P15, 55P40
Secondary: 57T20
|
References |
Publication
Received: 4 July 2014
Revised: 25 September 2014
Accepted: 25 September 2014
Published: 19 June 2015
|
Authors |
| Shizuo Kaji | |
| Department of Mathematical
Sciences Faculty of Science Yamaguchi University 1677-1, Yoshida Yamaguchi 753-8512 Japan |
|
| Akihiro Ohsita | |
| Faculty of Economics Osaka University of Economics 2-2-8 Osumi Hiogashiyodogawa Ward Osaka 533-8533 Japan |
|
| Stephen Theriault | |
| School of Mathematics University of Southampton Southampton SO17 BJ UK |
|
|
