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1. • CommentRowNumber1.
   • CommentAuthorDavidRoberts
   • CommentTimeMay 17th 2012
   • PermaLink
   Author: DavidRoberts
   Format: MarkdownItexStarted [[weak equivalence of internal categories]]. Needs some more work, including examples and theorems.

   Started weak equivalence of internal categories. Needs some more work, including examples and theorems.

2. • CommentRowNumber2.
   • CommentAuthorzskoda
   • CommentTimeMay 17th 2012
   • PermaLink
   Author: zskoda
   Format: MarkdownItexIn a topos one takes epis, not regular epis for $J$ ?

   In a topos one takes epis, not regular epis for $J$ ?

3. • CommentRowNumber3.
   • CommentAuthorDavidRoberts
   • CommentTimeMay 17th 2012
   • PermaLink
   Author: DavidRoberts
   Format: MarkdownItexAll epis are regular in a topos. In a regular category you take regular epis. Although there is nothing that says $J$ has to be subcanonical (for example, take the pretopology on $Top$ of locally split maps).

   All epis are regular in a topos. In a regular category you take regular epis. Although there is nothing that says $J$ has to be subcanonical (for example, take the pretopology on $Top$ of locally split maps).

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeMay 17th 2012
   • (edited May 17th 2012)
   • PermaLink
   Author: Urs
   Format: MarkdownItexIn a topos every epimorphism is regular (and effective)! [edit: I see I overlapped with David.]

   In a topos every epimorphism is regular (and effective)!

   [edit: I see I overlapped with David.]

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeMay 17th 2012
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have added pointers to the entry from _[[internal category]]_ and _[[equivalence of categories]]_. I have also added under _Related concepts_ a pointer to _[[anafunctor]]_, which I guess you may want to come back to. Notice that at _[[internal category]]_ there is a paragraph on "ana-equivalences".

   I have added pointers to the entry from internal category and equivalence of categories. I have also added under Related concepts a pointer to anafunctor, which I guess you may want to come back to. Notice that at internal category there is a paragraph on “ana-equivalences”.

6. • CommentRowNumber6.
   • CommentAuthorDavidRoberts
   • CommentTimeMay 17th 2012
   • PermaLink
   Author: DavidRoberts
   Format: MarkdownItexThanks, Urs.

   Thanks, Urs.

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeMay 17th 2012
   • PermaLink
   Author: Urs
   Format: MarkdownItexOh, and I have added the Context-table of contents _[[internal infinity-categories contents|internal categories]]_.

   Oh, and I have added the Context-table of contents internal categories.

8. • CommentRowNumber8.
   • CommentAuthorTim_Porter
   • CommentTimeAug 29th 2021
   • PermaLink
   Author: Tim_Porter
   Format: MarkdownItexActivated some author links <a href="https://ncatlab.org/nlab/revision/diff/weak+equivalence+of+internal+categories/7">diff</a>, <a href="https://ncatlab.org/nlab/revision/weak+equivalence+of+internal+categories/7">v7</a>, <a href="https://ncatlab.org/nlab/show/weak+equivalence+of+internal+categories">current</a>

   Activated some author links

   diff, v7, current

9. • CommentRowNumber9.
   • CommentAuthorUrs
   • CommentTimeAug 29th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexHave adjusted the wording and hyperlinking of the Idea-section, for clarity and flow. <a href="https://ncatlab.org/nlab/revision/diff/weak+equivalence+of+internal+categories/8">diff</a>, <a href="https://ncatlab.org/nlab/revision/weak+equivalence+of+internal+categories/8">v8</a>, <a href="https://ncatlab.org/nlab/show/weak+equivalence+of+internal+categories">current</a>

   Have adjusted the wording and hyperlinking of the Idea-section, for clarity and flow.

   diff, v8, current