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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeOct 16th 2019
   • (edited Oct 16th 2019)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to * [[Dev Sinha]], Section 1 in: _Koszul duality in algebraic topology - an historical perspective_, J. Homotopy Relat. Struct. (2013) 8: 1 ([arXiv:1001.2032](https://arxiv.org/abs/1001.2032)) <a href="https://ncatlab.org/nlab/revision/diff/bar+and+cobar+construction/22">diff</a>, <a href="https://ncatlab.org/nlab/revision/bar+and+cobar+construction/22">v22</a>, <a href="https://ncatlab.org/nlab/show/bar+and+cobar+construction">current</a>

   added pointer to

   • Dev Sinha, Section 1 in: Koszul duality in algebraic topology - an historical perspective, J. Homotopy Relat. Struct. (2013) 8: 1 (arXiv:1001.2032)

   diff, v22, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeOct 16th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to * [[Yves Felix]], [[Stephen Halperin]], [[Jean-Claude Thomas]], _Adams' Cobar Equivalence_, Transactions of the American Mathematical Society Vol. 329, No. 2 (1992), pp. 531-549 ([jstor:2153950](https://www.jstor.org/stable/2153950)) <a href="https://ncatlab.org/nlab/revision/diff/bar+and+cobar+construction/22">diff</a>, <a href="https://ncatlab.org/nlab/revision/bar+and+cobar+construction/22">v22</a>, <a href="https://ncatlab.org/nlab/show/bar+and+cobar+construction">current</a>

   added pointer to

   • Yves Felix, Stephen Halperin, Jean-Claude Thomas, Adams’ Cobar Equivalence, Transactions of the American Mathematical Society Vol. 329, No. 2 (1992), pp. 531-549 (jstor:2153950)

   diff, v22, current

3. • CommentRowNumber3.
   • CommentAuthorDavid_Corfield
   • CommentTimeOct 16th 2019
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexRe #1, the connection with this page goes via Koszul duality of the associative operad?

   Re #1, the connection with this page goes via Koszul duality of the associative operad?

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeOct 16th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexThat's true, but also the first half (Section 1) of the article is explicitly about bar/cobar construction and their relation. So I have added a "Section 1 in:..." to the reference item.

   That’s true, but also the first half (Section 1) of the article is explicitly about bar/cobar construction and their relation.

   So I have added a “Section 1 in:…” to the reference item.

5. • CommentRowNumber5.
   • CommentAuthorDavid_Corfield
   • CommentTimeOct 16th 2019
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexIt would be good to add a line about the connection. What is it? That the adjunction between the bar and cobar constructions is (a consequence of) Koszul duality for the associative operad?

   It would be good to add a line about the connection. What is it? That the adjunction between the bar and cobar constructions is (a consequence of) Koszul duality for the associative operad?

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeOct 21st 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to the recent * Rivera, _Adams' cobar construction revisited_ ([arxiv:1910.08455](https://arxiv.org/abs/1910.08455)) <a href="https://ncatlab.org/nlab/revision/diff/bar+and+cobar+construction/26">diff</a>, <a href="https://ncatlab.org/nlab/revision/bar+and+cobar+construction/26">v26</a>, <a href="https://ncatlab.org/nlab/show/bar+and+cobar+construction">current</a>

   added pointer to the recent

   • Rivera, Adams’ cobar construction revisited (arxiv:1910.08455)

   diff, v26, current

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeSep 20th 2022
   • (edited Sep 20th 2022)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Manuel Rivera]], [[Mahmoud Zeinalian]], *Cubical rigidification, the cobar construction, and the based loop space*, Algebr. Geom. Topol. **18** (2018) 3789-3820 &lbrack;[arXiv:1612.04801](https://arxiv.org/abs/1612.04801), [doi:10.2140/agt.2018.18.3789](https://doi.org/10.2140/agt.2018.18.3789)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/bar+and+cobar+construction/28">diff</a>, <a href="https://ncatlab.org/nlab/revision/bar+and+cobar+construction/28">v28</a>, <a href="https://ncatlab.org/nlab/show/bar+and+cobar+construction">current</a>

   added pointer to:

   • Manuel Rivera, Mahmoud Zeinalian, Cubical rigidification, the cobar construction, and the based loop space, Algebr. Geom. Topol. 18 (2018) 3789-3820 [arXiv:1612.04801, doi:10.2140/agt.2018.18.3789]

   diff, v28, current

8. • CommentRowNumber8.
   • CommentAuthorUrs
   • CommentTimeSep 20th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[John Frank Adams]], *On the cobar construction*, Proc Natl Acad Sci USA **42** 7 (1956) 409–412 &lbrack;[doi:10.1073/pnas.42.7.409](https://doi.org/10.1073%2Fpnas.42.7.409)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/bar+and+cobar+construction/28">diff</a>, <a href="https://ncatlab.org/nlab/revision/bar+and+cobar+construction/28">v28</a>, <a href="https://ncatlab.org/nlab/show/bar+and+cobar+construction">current</a>

   added pointer to:

   • John Frank Adams, On the cobar construction, Proc Natl Acad Sci USA 42 7 (1956) 409–412 [doi:10.1073/pnas.42.7.409]

   diff, v28, current

9. • CommentRowNumber9.
   • CommentAuthorzskoda
   • CommentTimeJun 12th 2023
   • PermaLink
   Author: zskoda
   Format: MarkdownItex* [[Mathieu Anel]], [[André Joyal]], _On the bar-cobar duality for algebras and operads_, slides 2012, [pdf](http://mathieu.anel.free.fr/mat/doc/Anel-Joyal-Boston-Operades.pdf) * [[Kathryn Hess]], _The cobar construction: a modern perspective_, lectures 2007, [pdf](https://sma.epfl.ch/~hessbell/Minicourse_Louvain_Notes.pdf) <a href="https://ncatlab.org/nlab/revision/diff/bar+and+cobar+construction/30">diff</a>, <a href="https://ncatlab.org/nlab/revision/bar+and+cobar+construction/30">v30</a>, <a href="https://ncatlab.org/nlab/show/bar+and+cobar+construction">current</a>

   • Mathieu Anel, André Joyal, On the bar-cobar duality for algebras and operads, slides 2012, pdf
   • Kathryn Hess, The cobar construction: a modern perspective, lectures 2007, pdf

   diff, v30, current