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math.AT2026
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…
math.AT2025
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In Goodwillie calculus, unpublished work of Dwyer and Rezk provides a classification of reduced filtered colimit preserving -excisive functors from pointed spaces to spectra as…
math.AT2024
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…