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math.RT2025
Filtering the linearization of the category of surjections
Geoffrey Powell
A filtration of the morphisms of the -linearization of the category of finite sets and surjections is constructed using a natural $k \mathbf{FI}^{o…
math.RT2025
Functors on the category of finite sets revisited
Geoffrey Powell
We study the structure of the category of representations of , the category of finite sets and all maps, mostly working over a field of characteristic zero. This categ…