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arXiv · 1211.6035

The Combinatorics of Polynomial Functors

Qimh Richey Xantcha
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Abstract

We propose a new description of Endofunctors of Module Categories, based upon a combinatorial category comprising finite sets and so-called mazes. Polynomial and numerical functors both find a natural interpretation in this frame-work. Since strict polynomial functors, according to the work of Salomonsson, are encoded by multi-sets, the two strains of functors may be compared and contrasted through juxtaposing the respective combinatorial structures, leading to the Polynomial Functor Theorem, giving an effective criterion for when a numerical (polynomial) functor is strict polynomial.

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BibTeXRIS

Qimh Richey Xantcha. 2012-11-26. The Combinatorics of Polynomial Functors. https://arxiv.org/abs/1211.6035

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