Paths in Double Categories

@inproceedings{DawsonPathsID,
  title={Paths in Double Categories},
  author={Robert J. MacG. Dawson and R. Par{\'e} and D. A. Pronk}
}
Two constructions of paths in double categories are studied, providing algebraic versions of the homotopy groupoid of a space. Universal properties of these constructions are presented. The first is seen as the codomain of the universal oplax morphism of double categories and the second, which is a quotient of the first, gives the universal normal oplax morphism. Normality forces an equivalence relation on cells, a special case of which was seen before in the free adjoint construction. These… CONTINUE READING

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