# Start a new discussion

## Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

## Site Tag Cloud

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

• CommentRowNumber1.
• CommentAuthormaxsnew
• CommentTimeMay 26th 2020

Mention dual Yoneda embedding.

• CommentRowNumber2.
• CommentAuthormaxsnew
• CommentTimeMay 26th 2020

I linked free completion but it’s a pretty sad page by comparison to free cocompletion. Should we change it to a redirect and just mention in free cocompletion near the top how to dualize?

• CommentRowNumber3.
• CommentAuthorMike Shulman
• CommentTimeMay 27th 2020

Or we could just add “see free cocompletion for more”.

• CommentRowNumber4.
• CommentAuthorDmitri Pavlov
• CommentTimeMay 27th 2020

The free completion (of a small category) is typically not a locally presentable category, unlike the free cocompletion, so ultimately the (practical) properties of these two completions are quite different.

I think this justifies the existence of a separate article.

• Please log in or leave your comment as a "guest post". If commenting as a "guest", please include your name in the message as a courtesy. Note: only certain categories allow guest posts.
• To produce a hyperlink to an nLab entry, simply put double square brackets around its name, e.g. [[category]]. To use (La)TeX mathematics in your post, make sure Markdown+Itex is selected below and put your mathematics between dollar signs as usual. Only a subset of the usual TeX math commands are accepted: see here for a list.

• (Help)