Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 9-22 |
| Number of pages | 14 |
| Journal | Science China Mathematics |
| Volume | 54 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2011.01 |
Keywords
- basic White-head products
- co-H-spaces
- comultiplications
- Hilton's formula
- homotopy associativity
- homotopy commutativity
- Hopf-Hilton invariants
Quacquarelli Symonds(QS) Subject Topics
- Mathematics
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