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1. • CommentRowNumber1.
   • CommentAuthorTim_Porter
   • CommentTimeMar 31st 2014
   • (edited Mar 31st 2014)
   • PermaLink
   Author: Tim_Porter
   Format: MarkdownItexAt [[localization]] we have : >A special class of localizations are _[[reflective localizations]]_, those where the functor $C \to L_W C$ has a [[full and faithful functor|full and faithful]] [[right adjoint]] $L_W C \hookrightarrow C$. Unfortunately $L_W C$ is not defined further up the page. Is $Q_W$ intended?

   At localization we have :

   A special class of localizations are reflective localizations, those where the functor $C \to L_W C$ has a full and faithful right adjoint $L_W C \hookrightarrow C$.

   Unfortunately $L_W C$ is not defined further up the page. Is $Q_W$ intended?

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJun 27th 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItex[four years later...] Generally, we don't have a nicely clean account of reflective localization on any one page. There are bits and pieces distributed over a whole lot of different pages (most of the technical details are in unlikely places, such as _[[reflective sub-(infinity,1)-category]]_, _[[geometric embedding]]_). I'd like to have a good account written up on some page. Also the textbooks accounts that I have seen are all not really good. Maybe I haven't seen the good ones...

   [four years later…]

   Generally, we don’t have a nicely clean account of reflective localization on any one page. There are bits and pieces distributed over a whole lot of different pages (most of the technical details are in unlikely places, such as reflective sub-(infinity,1)-category, geometric embedding). I’d like to have a good account written up on some page.

   Also the textbooks accounts that I have seen are all not really good. Maybe I haven’t seen the good ones…

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJun 28th 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have started to work on this. See the corresponding "recent changes"-thread [here](https://nforum.ncatlab.org/discussion/8677/reflective-localization/?Focus=69796#Comment_69796)

   I have started to work on this. See the corresponding “recent changes”-thread here