A Monoidal Model for Multilinearization
Algebraic Topology
2018-10-16 v2
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.
Cite
@article{arxiv.1706.06915,
title = {A Monoidal Model for Multilinearization},
author = {Sarah Yeakel},
journal= {arXiv preprint arXiv:1706.06915},
year = {2018}
}
Comments
Significantly rewritten after mistake found in proof that cross effects form a functor-operad