A universal property of the monoidal 2-category of cospans of ordinals and
surjections
Theory and applications of categories, Tome 18 (2007), pp. 631-653
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We prove that the monoidal 2-category of cospans of ordinals and surjections is the universal monoidal category with an object X with a semigroup and a cosemigroup structures, where the two structures satisfy a certain 2-dimensional separable algebra condition.
Classification :
18D5, 18D10, 18D35
Keywords: 2-categories, monoidal categories, structured objects
Keywords: 2-categories, monoidal categories, structured objects
@article{TAC_2007_18_a19,
author = {M. Menni and N. Sabadini and R. F. C. Walters},
title = {A universal property of the monoidal 2-category of cospans of ordinals and
surjections},
journal = {Theory and applications of categories},
pages = {631--653},
year = {2007},
volume = {18},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAC_2007_18_a19/}
}
TY - JOUR AU - M. Menni AU - N. Sabadini AU - R. F. C. Walters TI - A universal property of the monoidal 2-category of cospans of ordinals and surjections JO - Theory and applications of categories PY - 2007 SP - 631 EP - 653 VL - 18 UR - http://geodesic.mathdoc.fr/item/TAC_2007_18_a19/ LA - en ID - TAC_2007_18_a19 ER -
M. Menni; N. Sabadini; R. F. C. Walters. A universal property of the monoidal 2-category of cospans of ordinals and surjections. Theory and applications of categories, Tome 18 (2007), pp. 631-653. http://geodesic.mathdoc.fr/item/TAC_2007_18_a19/