a standard construction embeds a given category in a functor category the functor category has much nicer properties than the original category allowing to perform certain operations that were not available in the original setting allowing to perform Is that really English Would it lose rigour accuracy conciseness or other necessary property if written as allowing or as allowing the performance of or enabling I am guessing the author is trying to avoid using a person specifying term such as you or one as in allowing you to perform or allowing one to perform But I am not sure how important the term perform is what do the to my mind possibly extraneous words to perform add that necessitate adding them instead of sticking to a concise construction such as allowing or enabling