Sarah Yeakel (University of Maryland, College Park)
A monoidal model for Goodwillie derivatives
Source Paper Abstract
Using the category of finite sets and injections, we construct a lax monoidal model for Goodwillie’s derivatives of a functor between spaces or spectra. Along the way, we show that the cross effects of a monad form a functor-operad. We also recover a chain rule for endofunctors of spaces, expressing the derivatives of the composite as a derived composition product of the derivatives of and .
This User’s Guide is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.