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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeFeb 22nd 2010
   • (edited Feb 22nd 2010)
   • PermaLink
   Author: Urs
   Format: Markdowncreated [[Sullivan model]]

   created Sullivan model

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeApr 21st 2010
   • PermaLink
   Author: Urs
   Format: MarkdownItexexpanded [[Sullivan model]]

   expanded Sullivan model

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeAug 27th 2010
   • (edited Aug 27th 2010)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded to [[Sullivan model]] a discussion explaining how the definition of relative Sullivan algebras describes precisely composites of pushouts of the generating cofibrations in the model structure on dg-algebras.

   added to Sullivan model a discussion explaining how the definition of relative Sullivan algebras describes precisely composites of pushouts of the generating cofibrations in the model structure on dg-algebras.

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeFeb 15th 2017
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have tried to expand and streamline a little at _[[Sullivan model]]_.

   I have tried to expand and streamline a little at Sullivan model.

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeAug 21st 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to * [[Luc Menichi]], _Rational homotopy -- Sullivan models_, IRMA Lect. Math. Theor. Phys., EMS ([arXiv:1308.6685](https://arxiv.org/abs/1308.6685)) <a href="https://ncatlab.org/nlab/revision/diff/Sullivan+model/32">diff</a>, <a href="https://ncatlab.org/nlab/revision/Sullivan+model/32">v32</a>, <a href="https://ncatlab.org/nlab/show/Sullivan+model">current</a>

   added pointer to

   • Luc Menichi, Rational homotopy – Sullivan models, IRMA Lect. Math. Theor. Phys., EMS (arXiv:1308.6685)

   diff, v32, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeAug 21st 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Yves Félix]], [[Stephen Halperin]], [[Jean-Claude Thomas]], Chapter II of: _Rational Homotopy Theory_, Graduate Texts in Mathematics, 205, Springer-Verlag, 2000 ([doi:10.1007/978-1-4613-0105-9](https://link.springer.com/book/10.1007/978-1-4613-0105-9)) <a href="https://ncatlab.org/nlab/revision/diff/Sullivan+model/32">diff</a>, <a href="https://ncatlab.org/nlab/revision/Sullivan+model/32">v32</a>, <a href="https://ncatlab.org/nlab/show/Sullivan+model">current</a>

   added pointer to:

   • Yves Félix, Stephen Halperin, Jean-Claude Thomas, Chapter II of: Rational Homotopy Theory, Graduate Texts in Mathematics, 205, Springer-Verlag, 2000 (doi:10.1007/978-1-4613-0105-9)

   diff, v32, current

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeAug 23rd 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to * [[Yves Félix]], [[Steve Halperin]], _Rational homotopy theory via Sullivan models: a survey_, Notices of the International Congress of Chinese Mathematicians Volume 5 (2017) Number 2 ([arXiv:1708.05245](https://arxiv.org/abs/1708.05245), [doi:10.4310/ICCM.2017.v5.n2.a3](https://dx.doi.org/10.4310/ICCM.2017.v5.n2.a3)) <a href="https://ncatlab.org/nlab/revision/diff/Sullivan+model/33">diff</a>, <a href="https://ncatlab.org/nlab/revision/Sullivan+model/33">v33</a>, <a href="https://ncatlab.org/nlab/show/Sullivan+model">current</a>

   added pointer to

   • Yves Félix, Steve Halperin, Rational homotopy theory via Sullivan models: a survey, Notices of the International Congress of Chinese Mathematicians Volume 5 (2017) Number 2 (arXiv:1708.05245, doi:10.4310/ICCM.2017.v5.n2.a3)

   diff, v33, current

8. • CommentRowNumber8.
   • CommentAuthorUrs
   • CommentTimeJul 22nd 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded this statement: *** Under the [[formal duality]] between [[L-∞ algebras|$L_\infty$-algebras]] and their [[Chevalley-Eilenberg algebra|Chevalley-Eilenberg]] [[dgc-algebras]], the connected Sullivan models correspond [[bijection|bijectively]] to [[connective]] [[nilpotent L-infinity algebra|nilpotent $L_\infty$-algebras]] ([Berglund 2015, Thm. 2.3](https://ncatlab.org/nlab/show/Sullivan+model#Berglund15)). *** <a href="https://ncatlab.org/nlab/revision/diff/Sullivan+model/38">diff</a>, <a href="https://ncatlab.org/nlab/revision/Sullivan+model/38">v38</a>, <a href="https://ncatlab.org/nlab/show/Sullivan+model">current</a>

   added this statement:

   ---

   Under the formal duality between $L_\infty$-algebras and their Chevalley-Eilenberg dgc-algebras, the connected Sullivan models correspond bijectively to connective nilpotent $L_\infty$-algebras (Berglund 2015, Thm. 2.3).

   ---

   diff, v38, current

9. • CommentRowNumber9.
   • CommentAuthorUrs
   • CommentTimeDec 8th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexfinally completed the bib-data for this item: * [[Luc Menichi]], *Rational homotopy -- Sullivan models*, in: *Free Loop Spaces in Geometry and Topology*, IRMA Lect. Math. Theor. Phys., EMS (2015) &lbrack;[arXiv:1308.6685](https://arxiv.org/abs/1308.6685), [doi:10.4171/153](https://doi.org/10.4171/153)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/Sullivan+model/39">diff</a>, <a href="https://ncatlab.org/nlab/revision/Sullivan+model/39">v39</a>, <a href="https://ncatlab.org/nlab/show/Sullivan+model">current</a>

   finally completed the bib-data for this item:

   • Luc Menichi, Rational homotopy – Sullivan models, in: Free Loop Spaces in Geometry and Topology, IRMA Lect. Math. Theor. Phys., EMS (2015) [arXiv:1308.6685, doi:10.4171/153]

   diff, v39, current

10. • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeJun 21st 2023
    • PermaLink
    Author: Urs
    Format: MarkdownItexadded pointer to: * [[Dennis Sullivan]], *Differential forms and the topology of manifolds*, in Proc. International Conf.: *Manifolds Tokyo (1973)*, Univ. Tokyo Press (1975) 37-49 &lbrack;[pdf](https://www.math.stonybrook.edu/~dennis/publications/PDF/DS-pub-0017.pdf)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/Sullivan+model/40">diff</a>, <a href="https://ncatlab.org/nlab/revision/Sullivan+model/40">v40</a>, <a href="https://ncatlab.org/nlab/show/Sullivan+model">current</a>

    added pointer to:

    • Dennis Sullivan, Differential forms and the topology of manifolds, in Proc. International Conf.: Manifolds Tokyo (1973), Univ. Tokyo Press (1975) 37-49 [pdf]

    diff, v40, current

11. • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeJun 21st 2023
    • (edited Jun 21st 2023)
    • PermaLink
    Author: Urs
    Format: MarkdownItexand this pointer: * [[Alan J. Deschner]], *Sullivan's theory of minimal models*, MSc thesis, Univ. British Columbia (1976) &lbrack;[doi:10.14288/1.0080132](http://hdl.handle.net/2429/20052), [pdf](https://open.library.ubc.ca/media/stream/pdf/831/1.0080132/2)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/Sullivan+model/40">diff</a>, <a href="https://ncatlab.org/nlab/revision/Sullivan+model/40">v40</a>, <a href="https://ncatlab.org/nlab/show/Sullivan+model">current</a>

    and this pointer:

    • Alan J. Deschner, Sullivan’s theory of minimal models, MSc thesis, Univ. British Columbia (1976) [doi:10.14288/1.0080132, pdf]

    diff, v40, current