%0 Journal Article %1 hoffnung2011spans %A Hoffnung, Alexander E. %D 2011 %K category-theory %T Spans in 2-Categories: A monoidal tricategory %U http://arxiv.org/abs/1112.0560 %X We present Trimble's definition of a tetracategory and prove that the spans in (strict) 2-categories with certain limits have the structure of a monoidal tricategory, defined as a one-object tetracategory. We recall some notions of limits in 2-categories for use in the construction of the monoidal tricategory of spans.

@article{hoffnung2011spans, abstract = {We present Trimble's definition of a tetracategory and prove that the spans in (strict) 2-categories with certain limits have the structure of a monoidal tricategory, defined as a one-object tetracategory. We recall some notions of limits in 2-categories for use in the construction of the monoidal tricategory of spans.}, added-at = {2019-10-24T21:40:09.000+0200}, author = {Hoffnung, Alexander E.}, biburl = {https://www.bibsonomy.org/bibtex/2a43cc0d2a717398cca7448c12430be25/kirk86}, description = {[1112.0560] Spans in 2-Categories: A monoidal tricategory}, interhash = {3a49d0e19b7116e10213a3e0d8b0b011}, intrahash = {a43cc0d2a717398cca7448c12430be25}, keywords = {category-theory}, note = {cite arxiv:1112.0560Comment: 137 pages}, timestamp = {2019-10-24T21:40:09.000+0200}, title = {Spans in 2-Categories: A monoidal tricategory}, url = {http://arxiv.org/abs/1112.0560}, year = 2011 }