A type of limit in a double category.


If ff is a vertical arrow? in a double category CC, its tabulator is the terminal object in the category whose objects are objects TT of CC equipped with a 2-cell π:id Tf\pi\colon id_T\to f and morphisms ππ\pi'\to\pi are horizontal arrows? g:TTg\colon T'\to T such that the horizontal composition of the identity 2-cell on hh and the 2-cell π\pi yields π\pi'.


  • Marco Grandis, Robert Pare, Limits in double categories. Cahiers Topologie Géom. Différentielle Catég. 40 (1999), no. 3, 162–220.

  • Marco Grandis, Higher Dimensional Categories. From Double to Multiple Categories, doi

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