Comultiplications on a wedge of two spheres

作     者：ARKOWITZ Martin LEE Dae-Woong 

作者机构：Department of MathematicsDartmouth College Department of Mathematics and Institute of Pure and Applied MathematicsChonbuk National University 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2011年第54卷第1期

页      面：9-22页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：co-H-spaces comultiplications homotopy associativity homotopy commutativity basic Whitehead products Hilton’s formula Hopf-Hilton invariants 

摘      要：In this paper we study the set of comultiplications on a wedge of two spheres. We are primarily interested in the size of this set and properties of the comultiplications such as associativity and commutativity. Our methods involve Whitehead products in wedges of spheres and the Hopf-Hilton invariants. We apply our results to specific examples and determine the number of comultiplications, associative comultiplications and commutative comultiplications in these cases.