Decompositions of looped co-H-spaces and applications

Mathematics – Algebraic Topology

Scientific paper

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15 pages

Scientific paper

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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