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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeFeb 23rd 2012
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded to _[[generalized Reedy category]]_ a bunch of definitions and propositions from Cisinski's article, concerning the notion of normal morphisms of presheaves over a generalized Reedy category.

   added to generalized Reedy category a bunch of definitions and propositions from Cisinski’s article, concerning the notion of normal morphisms of presheaves over a generalized Reedy category.

2. • CommentRowNumber2.
   • CommentAuthorMike Shulman
   • CommentTimeFeb 23rd 2012
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexThanks! I just had a look at this page for the first time since Cisinski's notion was added. I was a bit confused about which statements and examples were about which definition, so I tried to clarify; but please correct if I got it wrong.

   Thanks! I just had a look at this page for the first time since Cisinski’s notion was added. I was a bit confused about which statements and examples were about which definition, so I tried to clarify; but please correct if I got it wrong.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeFeb 23rd 2012
   • PermaLink
   Author: Urs
   Format: MarkdownItexHi Mike, yes, sorry, I had added this only today and then was interrupted before I had really cleaned up the expanded entry. I will expand further on this in more detail in the next days.

   Hi Mike,

   yes, sorry, I had added this only today and then was interrupted before I had really cleaned up the expanded entry. I will expand further on this in more detail in the next days.

4. • CommentRowNumber4.
   • CommentAuthorJonasFrey
   • CommentTimeSep 24th 2019
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   Author: JonasFrey
   Format: MarkdownItexI think there's a little problem on this page: Cisinski's "catégories squelettiques" are introduced as a generalization of Reedy categories, and are actually referred to as "Cisinski generalized Reedy categories". However, I don't think that they actually generalize Reedy categories: in a Cisinski category, all negative maps are split epis, but for Reedy categories arising from inverse categories this property only holds in trivial cases (when the inverse category is discrete). To fix this, I think we have to start by changing terminology. What should we say instead of "Cisinski generalized Reedy category"? Maybe "Cisinski category"? Or "skeletic category"?

   I think there’s a little problem on this page: Cisinski’s “catégories squelettiques” are introduced as a generalization of Reedy categories, and are actually referred to as “Cisinski generalized Reedy categories”. However, I don’t think that they actually generalize Reedy categories: in a Cisinski category, all negative maps are split epis, but for Reedy categories arising from inverse categories this property only holds in trivial cases (when the inverse category is discrete).

   To fix this, I think we have to start by changing terminology. What should we say instead of “Cisinski generalized Reedy category”? Maybe “Cisinski category”? Or “skeletic category”?

5. • CommentRowNumber5.
   • CommentAuthorJonasFrey
   • CommentTimeSep 24th 2019
   • PermaLink
   Author: JonasFrey
   Format: MarkdownItexOr maybe "Cisinski-skeletal category" in analogy to "Barr-exact".

   Or maybe “Cisinski-skeletal category” in analogy to “Barr-exact”.

6. • CommentRowNumber6.
   • CommentAuthorRichard Williamson
   • CommentTimeSep 25th 2019
   • (edited Sep 25th 2019)
   • PermaLink
   Author: Richard Williamson
   Format: MarkdownItexI think 'skeletal category' is good, can always be qualified with 'in the sense of Cisinki' if necessary.

   I think ’skeletal category’ is good, can always be qualified with ’in the sense of Cisinki’ if necessary.

7. • CommentRowNumber7.
   • CommentAuthorTodd_Trimble
   • CommentTimeSep 26th 2019
   • PermaLink
   Author: Todd_Trimble
   Format: MarkdownItexI like Cisinski-skeletal.

   I like Cisinski-skeletal.

8. • CommentRowNumber8.
   • CommentAuthorMike Shulman
   • CommentTimeSep 27th 2019
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItex[[skeletal category]] has a standard meaning, so any other usage of it should be qualified somehow. But since Cisinski's categories are so much like Reedy categories, I think it would be good to name them accordingly, rather than perpetuating unnecessary confusion. Maybe "Cisinski-Reedy category"?

   skeletal category has a standard meaning, so any other usage of it should be qualified somehow. But since Cisinski’s categories are so much like Reedy categories, I think it would be good to name them accordingly, rather than perpetuating unnecessary confusion. Maybe “Cisinski-Reedy category”?

9. • CommentRowNumber9.
   • CommentAuthorUrs
   • CommentTimeApr 21st 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded the publication data for this item: * [[Clemens Berger]], [[Ieke Moerdijk]], *On an extension of the notion of Reedy category*, Mathematische Zeitschrift **269** (2011) 977–1004 &lbrack;[arXiv:0809.3341](http://arxiv.org/abs/0809.3341), [doi:10.1007/s00209-010-0770-x](https://doi.org/10.1007/s00209-010-0770-x)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/generalized+Reedy+category/20">diff</a>, <a href="https://ncatlab.org/nlab/revision/generalized+Reedy+category/20">v20</a>, <a href="https://ncatlab.org/nlab/show/generalized+Reedy+category">current</a>

   added the publication data for this item:

   • Clemens Berger, Ieke Moerdijk, On an extension of the notion of Reedy category, Mathematische Zeitschrift 269 (2011) 977–1004 [arXiv:0809.3341, doi:10.1007/s00209-010-0770-x]

   diff, v20, current