3 papers
math.AT2019
Decomposing the classifying diagram in terms of classifying spaces of groups
Christina Osborne
The classifying diagram was defined by Rezk and is a generalization of the nerve of a category; in contrast to the nerve, the classifying diagram of two categories is equivalent if…
math.AT2017
A first step toward higher order chain rules in abelian functor calculus
Christina Osborne, Amelia Tebbe
One of the fundamental tools of undergraduate calculus is the chain rule. The notion of higher order directional derivatives was developed by Huang, Marcantognini, and Young, along…
math.AT2016
Directional derivatives and higher order chain rules for abelian functor calculus
Kristine Bauer, Brenda Johnson, Christina Osborne +2
In this paper, we consider abelian functor calculus, the calculus of functors of abelian categories established by the second author and McCarthy. We carefully construct a category…