4 papers
Deconstructing span categories for profinite groups
David Barnes, Niall Taggart
One of the major advantages of -category theory over classical -category theory is its robust and homotopically meaningful framework for taking (co)limits of diagrams of…
A Dwyer-Rezk classification for polynomial functors in Weiss calculus
David Barnes, Magdalena Kędziorek, Niall Taggart
In Goodwillie calculus, unpublished work of Dwyer and Rezk provides a classification of reduced filtered colimit preserving -excisive functors from pointed spaces to spectra as…
An algebraic model for rational excisive functors
David Barnes, Magdalena Kędziorek, Niall Taggart
We provide a new proof of the rational splitting of excisive endofunctors of spectra as a product of their homogeneous layers independent of rational Tate vanishing. We utilise the…
Koszul duality and a classification of stable Weiss towers
Connor Malin, Niall Taggart
We introduce a version of Koszul duality for categories, which extends the Koszul duality of operads and right modules. We demonstrate that the derivatives which appear in Weiss ca…