On finiteness properties of polynomial functors

Aurélien Djament

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arXiv · 1308.4698

On finiteness properties of polynomial functors

Aurélien Djament

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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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Aurélien Djament. 2013-08-21. On finiteness properties of polynomial functors. https://arxiv.org/abs/1308.4698

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