The Hopf algebra of finite topologies and mould composition
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algebracompositionfinitehopftopologiesauthorcoproductdefined
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We exhibit an internal coproduct on the Hopf algebra of finite topologies recently defined by the second author, C. Malvenuto and F. Patras, dual to the composition of "quasi-ormoulds", which are the natural version of J. Ecalle's moulds in this setting. All these results are displayed in the linear species formalism.
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