4 papers
Global dimension of the category of rational incomplete Mackey functors for a finite abelian group G
David Barnes, Anna Marie Bohmann, Michael A. Hill +1
In this paper, we analyse the global dimension of the category of rational incomplete Mackey functors over a finite abelian group. Incomplete Mackey functors have recently risen to…
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 KÄdziorek, 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In Goodwillie calculus, unpublished work of Dwyer and Rezk provides a classification of reduced filtered colimit preserving -excisive functors from pointed spaces to spectra as…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 KÄdziorek, 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…