Geodesic
Spans of cospans
Theory and applications of categories, Tome 33 (2018), pp. 131-147

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

We study spans of cospans in a category C and explain how to horizontally and vertically compose these. When C is a topos and the legs of the spans are monic, these two forms of composition satisfy the interchange law. In this case there is a bicategory of objects, cospans, and `monic-legged' spans of cospans in C. One motivation for this construction is an application to graph rewriting.

Publié le :
Classification : 18D05, 68Q42, 90B10
Keywords: spans, cospans, bicategory, graph rewriting, adhesive category, network theory 
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     author = {Daniel Cicala},
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     year = {2018},
     language = {en},
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Daniel Cicala. Spans of cospans. Theory and applications of categories, Tome 33 (2018), pp. 131-147. http://geodesic.mathdoc.fr/item/TAC_2018_33_a5/