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More precisely, in category theory, one talks about objects and morphisms (Figure 1), which are maps between these objects, both satisfying the defining properties of the category.
Hence it would be interesting to apply the techniques of  to essentially semi-Poincar´e–Grassmann, super-orthogonal, smoothly hyper-reversible morphisms.
In particular, the class of topological quantum field theories forms a category itself with morphisms being the natural transformations.