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Decompositions of looped co-H-spaces and applications

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arxiv 1011.1414 v1 pith:AHN3XQGN submitted 2010-11-05 math.AT

Decompositions of looped co-H-spaces and applications

classification math.AT
keywords co-h-spacesalgebraapplicationsappliedarisingdecompositiondecompositionsfunctions
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We prove two homotopy decomposition theorems for the loops on co-H-spaces, including a generalization of the Hilton-Milnor Theorem. These are applied to problems arising in algebra, representation theory, toric topology, and the study of quasi-symmetric functions.

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