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  What is a free double category like [2 citations — 1 self]

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by Robert Dawson, Robert Pare
J. Pure Appl. Algebra
http://www.mscs.dal.ca/~pare/wdcl.ps
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Abstract:

We give a geometric description of the free double category generated by a double reflexive graph. Its cells are homotopy classes of colourings of certain rectangular complexes in the plane. A number of examples illustrate the wide variety of combinatorial properties of the plane this touches. 1

Citations

141 Combinatorial group theory – Lyndon, Schupp - 1977
46 The geometry of tensor calculus – Joyal, Street - 1991
12 General associativity and general composition for double categories. Cahiers Topologie G'eom. Diff'erentielle Cat'egoriques – Dawson, Par'e - 1993
1 and R.Pare, Characterising Tileorders, Order 10 – Dawson - 1993
1 The combinatorics of n-categorical posting – Johnson - 1989
1 Categorical Structures, in "Handbook of algebra – Street - 1996