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arXiv 2017-12-31 0 views

Idempotents in Tangle Categories Split

Blair, Ryan · Sack, Joshua

Original · EN

In this paper we use 3-manifold techniques to illuminate the structure of the category of tangles. In particular, we show that every idempotent morphism A in such a category naturally splits as A=B∘ C such that C∘ B is an identity morphism.

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