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Calculus of functors is a tool for studying functors between categories, analogous to the Taylor expansion of a real-valued function. It was originated by Thomas Goodwillie for studying spaces of concordances / pseudo-isotopy embeddings.

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A reference for Calculus of Functors for Model Categories

I haven't read it, but maybe this could be useful: http://arxiv.org/abs/math/0601221 Calculus of Functors and Model categories by Biedermann Chorny and Roendigs
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