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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeJun 14th 2010
   • PermaLink
   Author: Urs
   Format: MarkdownItexstub for [[Poincare lemma]]

   stub for Poincare lemma

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeFeb 4th 2011
   • (edited Feb 4th 2011)
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have added a little bit of substance to [[Poincare lemma]]

   I have added a little bit of substance to Poincare lemma

3. • CommentRowNumber3.
   • CommentAuthorDavidRoberts
   • CommentTimeFeb 4th 2011
   • PermaLink
   Author: DavidRoberts
   Format: MarkdownItex@Anyone - the flow of statements at [[Poincare lemma]] didn't make sense to me, so I popped a note in. I made a small correction to a typo (manifolds had changed names mysteriously).

   @Anyone - the flow of statements at Poincare lemma didn’t make sense to me, so I popped a note in. I made a small correction to a typo (manifolds had changed names mysteriously).

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeFeb 5th 2011
   • (edited Feb 5th 2011)
   • PermaLink
   Author: Urs
   Format: MarkdownItexPhew, I hadn't been concentrating when typing. Thanks for catching this. Where it said "$H_{dR}^\bullet(X) = H_{dR}^\bullet(Y)$" is was supposed to say "$H_{dR}^\bullet(f_1^*) = H_{dR}^\bullet(f_2^*)$". Namely: if two cochain maps $f_1^*$ and $f_2^*$ are homotopic, then they induce the same maps in cohomology. Sorry. I have fixed it now. Any further typos? I need to call it quits now.

   Phew, I hadn’t been concentrating when typing. Thanks for catching this.

   Where it said “$H_{dR}^\bullet(X) = H_{dR}^\bullet(Y)$” is was supposed to say “$H_{dR}^\bullet(f_1^*) = H_{dR}^\bullet(f_2^*)$”. Namely:

   if two cochain maps $f_1^*$ and $f_2^*$ are homotopic, then they induce the same maps in cohomology.

   Sorry. I have fixed it now. Any further typos? I need to call it quits now.

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeFeb 6th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have added more details. (Hopefully without weird typos this time!)

   I have added more details. (Hopefully without weird typos this time!)

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeJun 6th 2014
   • (edited Jun 6th 2014)
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have expanded the Idea-section at _[[Poincare lemma]]_ a bit, mentioning also the complex-analytic version and the incarnation of the statement as the local quasi-iso $\mathbb{R}\to \Omega^\bullet_{dR}$ ($\mathbb{C}\to \Omega^\bullet_{hol}$). Wanted to do more, but am out of steam now.

   I have expanded the Idea-section at Poincare lemma a bit, mentioning also the complex-analytic version and the incarnation of the statement as the local quasi-iso $\mathbb{R}\to \Omega^\bullet_{dR}$ ($\mathbb{C}\to \Omega^\bullet_{hol}$). Wanted to do more, but am out of steam now.

7. • CommentRowNumber7.
   • CommentAuthornLab edit announcer
   • CommentTimeFeb 5th 2019
   • PermaLink
   Author: nLab edit announcer
   Format: MarkdownItexFix definition of homotopy operator Tobias Diez <a href="https://ncatlab.org/nlab/revision/diff/Poincar%C3%A9+lemma/18">diff</a>, <a href="https://ncatlab.org/nlab/revision/Poincar%C3%A9+lemma/18">v18</a>, <a href="https://ncatlab.org/nlab/show/Poincar%C3%A9+lemma">current</a>

   Fix definition of homotopy operator

   Tobias Diez

   diff, v18, current