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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeFeb 25th 2010
   • PermaLink
   Author: Urs
   Format: Markdownadded the relevant definitions and propositions to [[object classifier]] also added to the query box my thoughts on how the object classifier in ooGrpd works.

   added the relevant definitions and propositions to object classifier

   also added to the query box my thoughts on how the object classifier in ooGrpd works.

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeDec 10th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have added to [[object classifier]] a paragraph [Object classifier in infinity-Groupoid](http://ncatlab.org/nlab/show/%28sub%29object+classifier+in+an+%28infinity%2C1%29-topos#ObjectClassifierInInfinityGroupoid). I have removed the corresponding query box that used to sit there.

   I have added to object classifier a paragraph Object classifier in infinity-Groupoid.

   I have removed the corresponding query box that used to sit there.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeDec 10th 2011
   • (edited Dec 10th 2011)
   • PermaLink
   Author: Urs
   Format: MarkdownItex[added](http://ncatlab.org/nlab/show/%28sub%29object+classifier+in+an+%28infinity%2C1%29-topos#ObjectClassifierInInfinityGroupoid) further discussion that the morphisms thus classified are indeed the relatively $\kappa$-compact ones. Still need to polish the flow of the text. But have to go offline now.

   added further discussion that the morphisms thus classified are indeed the relatively $\kappa$-compact ones.

   Still need to polish the flow of the text. But have to go offline now.

4. • CommentRowNumber4.
   • CommentAuthorDavid_Corfield
   • CommentTimeMay 12th 2019
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexWe've spoken elsewhere (in the higher dualizing [discussion](https://nforum.ncatlab.org/discussion/6437/higher-dualizing/?Focus=51697#Comment_51697)) about the [[object classifier]] in an $(\infty, 1)$-topos having the structure of an internal $(\infty, 1)$-topos. Something along these lines should be added. Where would be the best place here? Then where to link to for internal $(\infty, 1)$-topos? I guess we have [[category object in an (infinity,1)-category]]. By the way, at [The internal self-reflection / internal base (∞,1)-topos](https://ncatlab.org/nlab/show/category+object+in+an+%28infinity%2C1%29-category#InternalBaseTopos), are others seeing the diagram messed up?

   We’ve spoken elsewhere (in the higher dualizing discussion) about the object classifier in an $(\infty, 1)$-topos having the structure of an internal $(\infty, 1)$-topos. Something along these lines should be added. Where would be the best place here?

   Then where to link to for internal $(\infty, 1)$-topos? I guess we have category object in an (infinity,1)-category.

   By the way, at The internal self-reflection / internal base (∞,1)-topos, are others seeing the diagram messed up?