Basic Properties of Functor Structures
نویسندگان
چکیده
This article presents some theorems about functor structures. We start with some basic lemmata concerning the composition of functor structures. Then, two theorems about the restriction operator are formulated. Later, we show two theorems stating that the properties ’full’ and ’faithful’ of functor structures which are equivalent to the ’onto’ and ’one-to-one’ properties of their morphmaps, respectively. Furthermore, we prove some theorems about the inversion of functor structures.
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