|
|||||
|
|
|
|
|
|
|
|
|
Stable functorial
decompositions of
$F(\mathbb{R}^{n+1},j)^{+}\wedge_{\Sigma_j}X^{(j)}$
Jie Wu and Zihong Yuan |
|
Algebraic & Geometric Topology 17 (2017) 895–915
|
Abstract |
|
We first construct a functorial homotopy retract of for each natural coalgebra-split sub-Hopf algebra of the tensor algebra. Then, by computing their homology, we find a collection of stable functorial homotopy retracts of . |
Keywords
Snaith splitting, iterated loop suspension, functorial
homotopy decomposition, coalgebra-split sub-Hopf algebra
|
Mathematical Subject Classification 2010
Primary: 55P35
Secondary: 55P48, 55P65
|
References |
Publication
Received: 9 September 2015
Revised: 18 April 2016
Accepted: 30 September 2016
Published: 14 March 2017
|
Authors |
| Jie Wu | |
| Department of Mathematics National University of Singapore Block S17 (SOC1), 06-02 10 Lower Kent Ridge Road Singapore 119076 Singapore |
|
| http://www.math.nus.edu.sg/~matwujie | |
| Zihong Yuan | |
| Institute for Infocomm
Research 1 Fusionopolis Way #21-01 Connexis South Tower Singapore 138632 Singapore |
|
|
