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arXiv · 1706.06915

A Monoidal Model for Multilinearization

Sarah Yeakel
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Abstract

Using the category of finite sets and injections, we construct a new model for the multilinearization of multifunctors between spaces that appears in the derivatives of Goodwillie calculus. We show that this model yields a lax monoidal functor from the category of symmetric functor sequences to the category of symmetric sequences of spaces after evaluating at the unit.

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Sarah Yeakel. 2017-06-21. A Monoidal Model for Multilinearization. https://arxiv.org/abs/1706.06915

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