9 Constructions With Relations

    This chapter contains some material about constructions with relations. Notably, we discuss and explore:

    1. 1.

      The existence or non-existence of Kan extensions and Kan lifts in the $2$-category $\boldsymbol {\mathsf{Rel}}$ (Section 9.2).

  • 2.

    The various kinds of constructions involving relations, such as graphs, domains, ranges, unions, intersections, products, converse relations, composition of relations, and collages (Section 9.3).


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