46 citations · 283 across the 29 of their papers we have counts for
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math.CT2016
Complicial sets, an overture
Emily Riehl
The aim of these notes is to introduce the intuition motivating the notion of a "complicial set", a simplicial set with certain marked "thin" simplices that witness a composition r…
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…
math.CT2016★ 1 cited
Infinity category theory from scratch
Emily Riehl, Dominic Verity
We use the terms "-categories" and "-functors" to mean the objects and morphisms in an "-cosmos." Quasi-categories, Segal categories, complete Segal spaces,…