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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeNov 14th 2013
   • PermaLink
   Author: Urs
   Format: MarkdownItexexpanded/polished a little the Definition at _[[exact couple]]_

   expanded/polished a little the Definition at exact couple

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeFeb 24th 2016
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have expanded the section _[Spectral sequences from exact couples](https://ncatlab.org/nlab/show/exact+couple#SpectralSequencesFromExactCouples)_

   I have expanded the section Spectral sequences from exact couples

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJun 10th 2016
   • (edited Jun 10th 2016)
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   Author: Urs
   Format: MarkdownItexI have expanded a little the details of the proof of the converging cohomological spectral sequence constructed from an exact couple [here](https://ncatlab.org/nlab/show/exact+couple#CohomologicalSpectralSequenceOfAnExactCouple), trying to work out some subtle points more transparently. Apart from some more comments on how to see the convergence (which I am still not quite happy with, but anyway) I added the remark that the formula for the $E_\infty$-page manifestly identifies its elements with images of the first page under the map $$ \array{ D \\ & {}_{\mathllap{f}}\nwarrow \\ && E } $$ in the exact couple $$ \array{ D && \overset{g}{\longrightarrow} && D \\ & {}_{\mathllap{f}}\nwarrow && \swarrow_{\mathrlap{h}} \\ && E } $$

   I have expanded a little the details of the proof of the converging cohomological spectral sequence constructed from an exact couple here, trying to work out some subtle points more transparently.

   Apart from some more comments on how to see the convergence (which I am still not quite happy with, but anyway) I added the remark that the formula for the $E_\infty$-page manifestly identifies its elements with images of the first page under the map

   $$\array{ D \\ & {}_{\mathllap{f}}\nwarrow \\ && E }$$

   in the exact couple

   $$\array{ D && \overset{g}{\longrightarrow} && D \\ & {}_{\mathllap{f}}\nwarrow && \swarrow_{\mathrlap{h}} \\ && E }$$