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1. • CommentRowNumber1.
   • CommentAuthormattecapu
   • CommentTimeMay 28th 2020
   • PermaLink
   Author: mattecapu
   Format: MarkdownItexAdded some intuition for coskeleta <a href="https://ncatlab.org/nlab/revision/diff/simplicial+skeleton/25">diff</a>, <a href="https://ncatlab.org/nlab/revision/simplicial+skeleton/25">v25</a>, <a href="https://ncatlab.org/nlab/show/simplicial+skeleton">current</a>

   Added some intuition for coskeleta

   diff, v25, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeSep 9th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pulication data to: * [[William Dwyer]], [[Dan Kan]], _An obstruction theory for diagrams of simplicial sets_, Indagationes Mathematicae (Proceedings) Volume 87, Issue 2, 1984, Pages 139-146 ( <a href="https://doi.org/10.1016/1385-7258(84)90015-5">doi:10.1016/1385-7258(84)90015-5</a>, [pdf](http://www.nd.edu/~wgd/Dvi/ObstructionTheoryForDiagrams.pdf)) <a href="https://ncatlab.org/nlab/revision/diff/simplicial+skeleton/28">diff</a>, <a href="https://ncatlab.org/nlab/revision/simplicial+skeleton/28">v28</a>, <a href="https://ncatlab.org/nlab/show/simplicial+skeleton">current</a>

   added pulication data to:

   • William Dwyer, Dan Kan, An obstruction theory for diagrams of simplicial sets, Indagationes Mathematicae (Proceedings) Volume 87, Issue 2, 1984, Pages 139-146 ( doi:10.1016/1385-7258(84)90015-5, pdf)

   diff, v28, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeSep 9th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded publication data to: * [[Peter May]], Section II.8 of: _Simplicial objects in algebraic topology_, The University of Chicago Press 1967 ([djvu](http://www.math.uchicago.edu/~may/BOOKS/Simp.djvu), [ISBN:9780226511818](https://press.uchicago.edu/ucp/books/book/chicago/S/bo5956688.html)) <a href="https://ncatlab.org/nlab/revision/diff/simplicial+skeleton/28">diff</a>, <a href="https://ncatlab.org/nlab/revision/simplicial+skeleton/28">v28</a>, <a href="https://ncatlab.org/nlab/show/simplicial+skeleton">current</a>

   added publication data to:

   • Peter May, Section II.8 of: Simplicial objects in algebraic topology, The University of Chicago Press 1967 (djvu, ISBN:9780226511818)

   diff, v28, current

4. • CommentRowNumber4.
   • CommentAuthorHurkyl
   • CommentTimeSep 9th 2020
   • PermaLink
   Author: Hurkyl
   Format: MarkdownItexAdded that the left and right adjoints of truncation are fully faithful. <a href="https://ncatlab.org/nlab/revision/diff/simplicial+skeleton/30">diff</a>, <a href="https://ncatlab.org/nlab/revision/simplicial+skeleton/30">v30</a>, <a href="https://ncatlab.org/nlab/show/simplicial+skeleton">current</a>

   Added that the left and right adjoints of truncation are fully faithful.

   diff, v30, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeJul 6th 2021
   • (edited Jul 6th 2021)
   • PermaLink
   Author: Urs
   Format: MarkdownItexThe proposition [here](https://ncatlab.org/nlab/show/simplicial+skeleton#CoskeletonPreservesKanComplexes) that $cosk_n$ presrves Kan complexes came with a pointer to Zhen Lin's [Math.SE:a/597990](http://math.stackexchange.com/a/597990/58526). I have now added pointer also to: * Gian Deflorin, Lemma 10.12 in: *The Homotopy Hypothesis* Zurich 2019 ([pdf](http://user.math.uzh.ch/cattaneo/deflorin.pdf)) But is there not a textbook citation for this fact? <a href="https://ncatlab.org/nlab/revision/diff/simplicial+skeleton/35">diff</a>, <a href="https://ncatlab.org/nlab/revision/simplicial+skeleton/35">v35</a>, <a href="https://ncatlab.org/nlab/show/simplicial+skeleton">current</a>

   The proposition here that $cosk_n$ presrves Kan complexes came with a pointer to Zhen Lin’s Math.SE:a/597990.

   I have now added pointer also to:

   • Gian Deflorin, Lemma 10.12 in: The Homotopy Hypothesis Zurich 2019 (pdf)

   But is there not a textbook citation for this fact?

   diff, v35, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeJul 6th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexbut I see it is mentioned (albeit without proof) on the top of p. 141 in [Dwyer & Kan 1984](https://ncatlab.org/nlab/show/simplicial+skeleton#DwyerKan84) <a href="https://ncatlab.org/nlab/revision/diff/simplicial+skeleton/35">diff</a>, <a href="https://ncatlab.org/nlab/revision/simplicial+skeleton/35">v35</a>, <a href="https://ncatlab.org/nlab/show/simplicial+skeleton">current</a>

   but I see it is mentioned (albeit without proof) on the top of p. 141 in Dwyer & Kan 1984

   diff, v35, current

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeAug 20th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have considerably expanded ([here](https://ncatlab.org/nlab/show/simplicial+skeleton#CoskeletalityOfSimplicialNervesOfCategories)), the example of the nerve of a category being 2-coskeletal, now including discussion also of the conditions ensuring the converse. This could be expanded further still. And eventually this or similar expanded discussion should also go to *[[nerve]]* ([here](https://ncatlab.org/nlab/show/nerve#PropNerveCat)) and maybe elsewhere, too. <a href="https://ncatlab.org/nlab/revision/diff/simplicial+skeleton/37">diff</a>, <a href="https://ncatlab.org/nlab/revision/simplicial+skeleton/37">v37</a>, <a href="https://ncatlab.org/nlab/show/simplicial+skeleton">current</a>

   I have considerably expanded (here), the example of the nerve of a category being 2-coskeletal, now including discussion also of the conditions ensuring the converse.

   This could be expanded further still. And eventually this or similar expanded discussion should also go to nerve (here) and maybe elsewhere, too.

   diff, v37, current