Cospan construction of the graph category of Borisov and Manin

Joachim Kock

doi:10.5565/PUBLMAT6221802

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Home > Journals > Publ. Mat. > Volume 62 > Issue 2 > Article

2018 Cospan construction of the graph category of Borisov and Manin

Joachim Kock

Publ. Mat. 62(2): 331-353 (2018). DOI: 10.5565/PUBLMAT6221802

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Abstract

It is shown how the graph category of Borisov and Manin can be constructed from (a variant of) the graph category of Joyal and Kock, essentially by reversing the generic morphisms. More precisely, the morphisms in the Borisov–Manin category are exhibited as cospans of reduced covers and refinement morphisms.

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Joachim Kock. "Cospan construction of the graph category of Borisov and Manin." Publ. Mat. 62 (2) 331 - 353, 2018. https://doi.org/10.5565/PUBLMAT6221802