Title of article
Properties of comultiplications on a wedge of spheres
Author/Authors
Arkowitz، نويسنده , , Martin and Lee، نويسنده , , Dae-Woong، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2010
Pages
15
From page
1607
To page
1621
Abstract
In this paper we study the set of comultiplications on a wedge of a finite number of spheres. We are interested in group theoretic properties of these comultiplications such as associativity and commutativity and loop theoretic properties such as inversivity, power-associativity and the Moufang property. Our methods involve Whitehead products in wedges of spheres and the Hopf–Hilton invariants. We obtain extensive results for a restricted class of comultiplications, namely, the one-stage quadratic or cubic comultiplications.
Keywords
Power-associativity , The Moufang property , Co-H-spaces , Comultiplications , Homotopy associativity , Homotopy commutativity , Whitehead products , Inversivity , Hopf–Hilton invariants , Wedges of spheres , Algebraic loops
Journal title
Topology and its Applications
Serial Year
2010
Journal title
Topology and its Applications
Record number
1582565
Link To Document