| In contrast with previous works, the current study is based on phonological and functor innovations. |
| This means that the fibrant replacement functor does not preserve the causal structure. |
| Furthermore, we prove some theorems about the inversion of functor structures. |
| A constituent is defined as a compound term of arity 1 with the constituent category as principal functor. |
| The preposed noun is directly absorbed by the functor, in that it is non-referential, and so lacks a governing determiner. |
| A new semisymmetrization functor, which maps the category of quasigroups with homotopies to the category of semisymmetric quasigroups with homomorphisms is given. |
