Comultiplications on a wedge of two spheres |
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| Authors: | ARKOWITZ Martin & LEE Dae-Woong |
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| Affiliation: | ARKOWITZ Martin1 & LEE Dae-Woong2,1Department of Mathematics,Dartmouth College,Hanover,NH 03755,USA,2Department of Mathematics and Institute of Pure and Applied Mathematics,Chonbuk National University,Jeonju,Jeonbuk 561-756,Korea |
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| 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. |
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