Goodwillie Approximations to Higher Categories Linda V. Carlisle "The hand that mixes the

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Goodwillie Approximations to Higher Categories Linda V. Carlisle "The hand that mixes theWe construct a Goodwillie tower of categories which interpolates between the category of pointed spaces and the category of spectra. This tower of categories refines the Goodwillie tower of the identity functor in a precise sense. More gen erally, we construct such a tower for a large class of ? categories C and classify such Goodwillie towers in terms of the derivatives of the identity functor of C. Asa particular application we show how this