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1. • CommentRowNumber1.
   • CommentAuthorMike Shulman
   • CommentTimeSep 8th 2011
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   Author: Mike Shulman
   Format: MarkdownItexCreated [[reflective factorization system]].

   Created reflective factorization system.

2. • CommentRowNumber2.
   • CommentAuthorzskoda
   • CommentTimeSep 8th 2011
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   Author: zskoda
   Format: MarkdownItexMy memory is that Borceux's book dwells for some time on this case, but I have no time to check. Maybe adding more literature would be useful.

   My memory is that Borceux’s book dwells for some time on this case, but I have no time to check. Maybe adding more literature would be useful.

3. • CommentRowNumber3.
   • CommentAuthorMike Shulman
   • CommentTimeSep 8th 2011
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   Author: Mike Shulman
   Format: MarkdownItex> Maybe adding more literature would be useful. I think adding more literature is rarely *not* helpful! I don't have Borceaux's book with me right now, though.

   Maybe adding more literature would be useful.

   I think adding more literature is rarely not helpful! I don’t have Borceaux’s book with me right now, though.

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeDec 27th 2013
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   Author: Urs
   Format: MarkdownItexhave added this pointer to the references at _[[reflective factorization system]]_: > Discussion of "simple" reflective factorization systems and of simultaneously reflective and coreflective factorization systems is in > * [[Jiri Rosicky]], [[Walter Tholen]], _Factorization, Fibration and Torsion_, Journal of Homotopy and Related Structures, Vol. 2(2007), No. 2, pp. 295-314 ([arXiv:0801.0063](http://arxiv.org/abs/0801.0063), [publisher](http://www.emis.de/journals/JHRS/volumes/2007/n2a14/))

   have added this pointer to the references at reflective factorization system:

   Discussion of “simple” reflective factorization systems and of simultaneously reflective and coreflective factorization systems is in

   • Jiri Rosicky, Walter Tholen, Factorization, Fibration and Torsion, Journal of Homotopy and Related Structures, Vol. 2(2007), No. 2, pp. 295-314 (arXiv:0801.0063, publisher)

5. • CommentRowNumber5.
   • CommentAuthorMike Shulman
   • CommentTimeJan 13th 2019
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   Author: Mike Shulman
   Format: MarkdownItexMentioned the notion of "simple" reflection. <a href="https://ncatlab.org/nlab/revision/diff/reflective+factorization+system/16">diff</a>, <a href="https://ncatlab.org/nlab/revision/reflective+factorization+system/16">v16</a>, <a href="https://ncatlab.org/nlab/show/reflective+factorization+system">current</a>

   Mentioned the notion of “simple” reflection.

   diff, v16, current

6. • CommentRowNumber6.
   • CommentAuthorMike Shulman
   • CommentTimeJan 14th 2019
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   Author: Mike Shulman
   Format: MarkdownItexMove some stuff to [[semi-left-exact reflection]]. <a href="https://ncatlab.org/nlab/revision/diff/reflective+factorization+system/18">diff</a>, <a href="https://ncatlab.org/nlab/revision/reflective+factorization+system/18">v18</a>, <a href="https://ncatlab.org/nlab/show/reflective+factorization+system">current</a>

   Move some stuff to semi-left-exact reflection.

   diff, v18, current

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeJul 20th 2020
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   Author: Urs
   Format: MarkdownItexI have added hyperlinked doi-s to these items: * C. Cassidy, M. H&#233;bert, [[Max Kelly]], _Reflective subcategories, localizations, and factorization systems_, J. Austral. Math Soc. (Series A) 38 (1985), 287--329 ([doi:10.1017/S1446788700023624](https://doi.org/10.1017/S1446788700023624)) * [[Aurelio Carboni]], [[George Janelidze]], [[Max Kelly]], [[Robert Paré]], _On localization and stabilization for factorization systems_, Appl. Categ. Structures 5 (1997), 1--58 ([doi:10.1023/A:1008620404444](https://doi.org/10.1023/A:1008620404444)) <a href="https://ncatlab.org/nlab/revision/diff/reflective+factorization+system/19">diff</a>, <a href="https://ncatlab.org/nlab/revision/reflective+factorization+system/19">v19</a>, <a href="https://ncatlab.org/nlab/show/reflective+factorization+system">current</a>

   I have added hyperlinked doi-s to these items:

   • C. Cassidy, M. Hébert, Max Kelly, Reflective subcategories, localizations, and factorization systems, J. Austral. Math Soc. (Series A) 38 (1985), 287–329 (doi:10.1017/S1446788700023624)

   • Aurelio Carboni, George Janelidze, Max Kelly, Robert Paré, On localization and stabilization for factorization systems, Appl. Categ. Structures 5 (1997), 1–58 (doi:10.1023/A:1008620404444)

   diff, v19, current

8. • CommentRowNumber8.
   • CommentAuthorUrs
   • CommentTimeMar 21st 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Egbert Rijke]], [[Mike Shulman]], [[Bas Spitters]], Section A.2 in: *Modalities in homotopy type theory*, Logical Methods in Computer Science, **16** 1 (2020) &lbrack;[arXiv:1706.07526](https://arxiv.org/abs/1706.07526), <a href="https://doi.org/10.23638/LMCS-16(1:2)2020">doi:10.23638/LMCS-16(1:2)2020</a>&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/reflective+factorization+system/22">diff</a>, <a href="https://ncatlab.org/nlab/revision/reflective+factorization+system/22">v22</a>, <a href="https://ncatlab.org/nlab/show/reflective+factorization+system">current</a>

   added pointer to:

   • Egbert Rijke, Mike Shulman, Bas Spitters, Section A.2 in: Modalities in homotopy type theory, Logical Methods in Computer Science, 16 1 (2020) [arXiv:1706.07526, doi:10.23638/LMCS-16(1:2)2020]

   diff, v22, current