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On finiteness properties of polynomial functors
Published 21 Aug 2013 in math.AT, math.CT, and math.RT | (1308.4698v6)
Abstract: We study finiteness properties, especially the noetherian property, the Krull dimension and a variation of finite presentation, in categories of polynomial functors from a small symmetric monoidal category whose unit is an initial object to an abelian category (notion introduced in this general setting in the work http://hal.archives-ouvertes.fr/hal-00851869 joint with C. Vespa). We give also an application to functors related to automorphisms of free groups.
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