The colimit (or *inductive* limit) of a pattern actualizes the potentiality of the objects of the pattern to realize collective actions. Its limit (or *projective *limit) actualizes their capacity to collectively decode and classify information of which each receives only some part.

Let P be a pattern of linked objects N* _{i}* in a category. A

The limit L detects the objects able to send a common message to the pattern, namely all the objects M for which there exists a link from M to L; roughly, they are the objects which have the property classified by L. These objects M and the links between them form a subcategory, called the *classification* *domain *of L.

All the properties of the colimit are transposed to the limit. In particular, iterated limits are inductively defined. And the construction of the complexification, with its simple and complex links, extends to the case where the given strategy fixes also patterns 'to classify', to which a limit will be added.* *