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1. • CommentRowNumber1.
   • CommentAuthorMike Shulman
   • CommentTimeDec 23rd 2011
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexI've added Peter May's Galois theory example to [[M-category]] in a section "Applications".

   I’ve added Peter May’s Galois theory example to M-category in a section “Applications”.

2. • CommentRowNumber2.
   • CommentAuthorTodd_Trimble
   • CommentTimeMar 10th 2013
   • PermaLink
   Author: Todd_Trimble
   Format: MarkdownItexI added the observation to [[M-category]] that $\mathcal{M}$ is a Grothendieck quasitopos (which is something that had never actually occurred to me before yesterday). In fact it can be described as the category of $\neg \neg$-separated presheaves on $\mathbf{2} = (0 \to 1)$.

   I added the observation to M-category that $\mathcal{M}$ is a Grothendieck quasitopos (which is something that had never actually occurred to me before yesterday). In fact it can be described as the category of $\neg \neg$-separated presheaves on $\mathbf{2} = (0 \to 1)$.

3. • CommentRowNumber3.
   • CommentAuthorMike Shulman
   • CommentTimeMar 11th 2013
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexNice! I guess maybe that is in some sense 'the simplest nontrivial Grothendieck quasitopos'?

   Nice! I guess maybe that is in some sense ’the simplest nontrivial Grothendieck quasitopos’?

4. • CommentRowNumber4.
   • CommentAuthorTobyBartels
   • CommentTimeMar 11th 2013
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   Author: TobyBartels
   Format: MarkdownItexTechnical note: When you link to a particular section of an nLab page, you should give that section a permanent name (in the HTML), because the automatic section names may change. So `#### Example: $Subset$` becomes `#### Example: $Subset$ {#Subset}` (for example).

   Technical note: When you link to a particular section of an nLab page, you should give that section a permanent name (in the HTML), because the automatic section names may change.

   So #### Example: $Subset$ becomes #### Example: $Subset$ {#Subset} (for example).

5. • CommentRowNumber5.
   • CommentAuthorTodd_Trimble
   • CommentTimeMar 11th 2013
   • PermaLink
   Author: Todd_Trimble
   Format: MarkdownItexThanks, Mike! And yes, probably. (Only at length am I getting better at instinctively knowing whether a category is a quasitopos.) And thanks very much, Toby -- I forgot to do that.

   Thanks, Mike! And yes, probably. (Only at length am I getting better at instinctively knowing whether a category is a quasitopos.)

   And thanks very much, Toby – I forgot to do that.

6. • CommentRowNumber6.
   • CommentAuthorRodMcGuire
   • CommentTimeSep 6th 2017
   • (edited Sep 6th 2017)
   • PermaLink
   Author: RodMcGuire
   Format: MarkdownItexI've updated [[M-category#definitions]] slightly to give M the alternative name $Mono$ and mention the [[Sierpinski topos]]. should it also be mentioned that it contains the double negation topology separated presheaves?

   I’ve updated M-category#definitions slightly to give M the alternative name $Mono$ and mention the Sierpinski topos.

   should it also be mentioned that it contains the double negation topology separated presheaves?

7. • CommentRowNumber7.
   • CommentAuthorTodd_Trimble
   • CommentTimeSep 6th 2017
   • (edited Sep 6th 2017)
   • PermaLink
   Author: Todd_Trimble
   Format: MarkdownItexWell, $Mono$ *is* the category of $\neg\neg$-separated presheaves in $Set^\to$. And yes, that's worth mentioning on the page (which I've now done).

   Well, $Mono$ is the category of $\neg\neg$-separated presheaves in $Set^\to$. And yes, that’s worth mentioning on the page (which I’ve now done).

8. • CommentRowNumber8.
   • CommentAuthorTodd_Trimble
   • CommentTimeJun 23rd 2021
   • PermaLink
   Author: Todd_Trimble
   Format: MarkdownItexCreated Related Concepts section; added [[relative category]] and [[F-category]]. <a href="https://ncatlab.org/nlab/revision/diff/M-category/21">diff</a>, <a href="https://ncatlab.org/nlab/revision/M-category/21">v21</a>, <a href="https://ncatlab.org/nlab/show/M-category">current</a>

   Created Related Concepts section; added relative category and F-category.

   diff, v21, current

9. • CommentRowNumber9.
   • CommentAuthorvarkor
   • CommentTimeMay 21st 2022
   • PermaLink
   Author: varkor
   Format: MarkdownItexMention Kleisli categories as an example. <a href="https://ncatlab.org/nlab/revision/diff/M-category/22">diff</a>, <a href="https://ncatlab.org/nlab/revision/M-category/22">v22</a>, <a href="https://ncatlab.org/nlab/show/M-category">current</a>

   Mention Kleisli categories as an example.

   diff, v22, current