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Corpus ID: 249282245

Labelled cospan categories and properads

@inproceedings{Beardsley2022LabelledCC,
title={Labelled cospan categories and properads},
author={Jonathan Beardsley and Philip Hackney},
year={2022}
}

We prove Steinebrunner’s conjecture on the biequivalence between (colored) properads and labelled cospan categories. The main part of the work is to establish a 1-categorical, strict version of the conjecture, showing that the category of properads is equivalent to a category of strict labelled cospan categories via the symmetric monoidal envelope functor.

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