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A Monoidal Model for Multilinearization

2017/06/21 by Yeakel, Sarah
#Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1706.06915

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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