About completion of (simple) categories see (my try) in:

Equalizer completion

In Adamek, J. and Rosicky, J., Locally presentable and accessible categories, Cambridge University Press. (1994)

you find interesting kind of completions (category).

About completion of (simple) categories see (my try) in:

Equalizer completion

In Adamek, J. and Rosicky, J., Locally presentable and accessible categories, Cambridge University Press. (1994)

you find interesting kind of completions (category).