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1. • CommentRowNumber1.
   • CommentAuthorjamievicary
   • CommentTimeDec 7th 2018
   • PermaLink
   Author: jamievicary
   Format: MarkdownItexStub for associative n-categories. <a href="https://ncatlab.org/nlab/revision/associative+n-categories/1">v1</a>, <a href="https://ncatlab.org/nlab/show/associative+n-categories">current</a>

   Stub for associative n-categories.

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeDec 7th 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexmade page name singular, to comply with convention. Hyperlinked some more of the keywords I think there ought to be clarification which compositons exactly are associative. I gather all of them? <a href="https://ncatlab.org/nlab/revision/diff/associative+n-category/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/associative+n-category/2">v2</a>, <a href="https://ncatlab.org/nlab/show/associative+n-category">current</a>

   made page name singular, to comply with convention. Hyperlinked some more of the keywords

   I think there ought to be clarification which compositons exactly are associative. I gather all of them?

   diff, v2, current

3. • CommentRowNumber3.
   • CommentAuthorTodd_Trimble
   • CommentTimeDec 7th 2018
   • (edited Dec 7th 2018)
   • PermaLink
   Author: Todd_Trimble
   Format: MarkdownItexAlso I would imagine there is some relevant prehistory here, such as Simpson's weak units conjecture, and the analysis of this in dimension 3 by [Joyal-Kock](https://arxiv.org/abs/math/0602084). I don't know how this relates to the development described in the article.

   Also I would imagine there is some relevant prehistory here, such as Simpson’s weak units conjecture, and the analysis of this in dimension 3 by Joyal-Kock. I don’t know how this relates to the development described in the article.

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeDec 8th 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointers to * [[Christoph Dorn]], _Associative $n$-categories_, talk at _[103rd Peripatetic Seminar on Sheaves and Logic](https://www.math.muni.cz/~loregianf/PSSL103/PSSL103.php)_ ([pdf](https://www.math.muni.cz/~loregianf/PSSL103/slides/Dorn.pdf)) * [[Christoph Dorn]], _Associative n-categories_ PhD thesis ([pdf](https://www.dornchristoph.com/writing/dphil_intro.pdf)) <a href="https://ncatlab.org/nlab/revision/diff/associative+n-category/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/associative+n-category/3">v3</a>, <a href="https://ncatlab.org/nlab/show/associative+n-category">current</a>

   added pointers to

   • Christoph Dorn, Associative $n$-categories, talk at 103rd Peripatetic Seminar on Sheaves and Logic (pdf)

   • Christoph Dorn, Associative n-categories PhD thesis (pdf)

   diff, v3, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeDec 31st 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded today's arXiv identifier for * [[Christoph Dorn]], _Associative n-categories_, PhD thesis ([pdf](https://www.dornchristoph.com/writing/dphil_intro.pdf), [arXi:1812.10586](https://arxiv.org/abs/1812.10586)) <a href="https://ncatlab.org/nlab/revision/diff/associative+n-category/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/associative+n-category/4">v4</a>, <a href="https://ncatlab.org/nlab/show/associative+n-category">current</a>

   added today’s arXiv identifier for

   • Christoph Dorn, Associative n-categories, PhD thesis (pdf, arXi:1812.10586)

   diff, v4, current

6. • CommentRowNumber6.
   • CommentAuthorChristoph Dorn
   • CommentTimeMar 14th 2023
   • PermaLink
   Author: Christoph Dorn
   Format: MarkdownItexadded pointers <a href="https://ncatlab.org/nlab/revision/diff/associative+n-category/6">diff</a>, <a href="https://ncatlab.org/nlab/revision/associative+n-category/6">v6</a>, <a href="https://ncatlab.org/nlab/show/associative+n-category">current</a>

   added pointers

   diff, v6, current

7. • CommentRowNumber7.
   • CommentAuthorzskoda
   • CommentTimeMar 14th 2023
   • PermaLink
   Author: zskoda
   Format: MarkdownItex> Despite these strictness properties, it is conjectured that every weak n-category is weakly equivalent to an associative n-category with strict units. Isn't this just a version of [[Simpson's conjecture]] ? I would crosslink if I were sure in what conventionsassumption in this issue are.

   Despite these strictness properties, it is conjectured that every weak n-category is weakly equivalent to an associative n-category with strict units.

   Isn’t this just a version of Simpson’s conjecture ? I would crosslink if I were sure in what conventionsassumption in this issue are.

8. • CommentRowNumber8.
   • CommentAuthorChristoph Dorn
   • CommentTimeMar 15th 2023
   • PermaLink
   Author: Christoph Dorn
   Format: MarkdownItex@zskoda well, I think it's related but somewhat orthogonal. Roughly: * Simpson's conjecture: weak identity laws $\simeq$ fully weak structure * The conjecture that's alluded to here: weak exchange laws $\simeq$ fully weak structure (example: Gray categories $\cong$ fully weak tricategories)

   @zskoda well, I think it’s related but somewhat orthogonal. Roughly:

   • Simpson’s conjecture: weak identity laws $\simeq$ fully weak structure
   • The conjecture that’s alluded to here: weak exchange laws $\simeq$ fully weak structure (example: Gray categories $\cong$ fully weak tricategories)
9. • CommentRowNumber9.
   • CommentAuthorChristoph Dorn
   • CommentTimeMar 15th 2023
   • PermaLink
   Author: Christoph Dorn
   Format: MarkdownItex- addressed (much) earlier comments by Todd and Urs. - added examples. <a href="https://ncatlab.org/nlab/revision/diff/associative+n-category/7">diff</a>, <a href="https://ncatlab.org/nlab/revision/associative+n-category/7">v7</a>, <a href="https://ncatlab.org/nlab/show/associative+n-category">current</a>

   • addressed (much) earlier comments by Todd and Urs.
   • added examples.

   diff, v7, current