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Results tagged with monoidal-categories
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user 49270
2
votes
Singularity-free isotopies between string diagrams for monoidal categories
This conjecture was confirmed recently, with two different methods:
By Jamie and I, as a corollary of our work on the word problem for monoidal categories (in which we give algorithms to detect wheth …
- 345
3
votes
Branching behavior in string diagrams/monoidal categories?
You can represent such a branching behaviour in bimonoidal categories (also known as rig categories).
In addition to your multiplicative monoidal structure $\otimes$, which is used to represent compou …
- 345
9
votes
2
answers
703
views
Why is a braided left autonomous category also right autonomous?
In Selinger, P. A survey of graphical languages for monoidal categories (New Structures for Physics, Springer, 2011, 813, 289-233), it is stated that:
Lemma 4.17 ([23, Prop. 7.2]). A braided monoi …
- 345
1
vote
Reference for free symmetric monoidal categories with duals on symmetric monoidal categories
I thought the autonomization construction can be generalized to the symmetric case, and had a go at writing up the construction: https://arxiv.org/abs/2201.07527
However it does not work, because of a …
- 345