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1. • CommentRowNumber1.
   • CommentAuthorTobyBartels
   • CommentTimeMar 30th 2013
   • PermaLink
   Author: TobyBartels
   Format: MarkdownItexUrs created [[limit of a sequence]] on this topic.

   Urs created limit of a sequence on this topic.

2. • CommentRowNumber2.
   • CommentAuthorTobyBartels
   • CommentTimeMar 30th 2013
   • PermaLink
   Author: TobyBartels
   Format: MarkdownItexWe already had [[convergence space]], which (in principle) covers convergence in all kinds of spaces (by describing their underlying convergence spaces). But it is better to give that topic it its own page (just as we have [[open subset]] as well as [[topological space]]). I have long had vague plans to write this at [[convergence]] (which used to be a redirect to [[convergence space]] but now redirects to [[limit of a sequence]]). I would still put that forth as the best name for the page.

   We already had convergence space, which (in principle) covers convergence in all kinds of spaces (by describing their underlying convergence spaces). But it is better to give that topic it its own page (just as we have open subset as well as topological space).

   I have long had vague plans to write this at convergence (which used to be a redirect to convergence space but now redirects to limit of a sequence). I would still put that forth as the best name for the page.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeMar 30th 2013
   • (edited Mar 30th 2013)
   • PermaLink
   Author: Urs
   Format: MarkdownItexThat makes sense. But I found that several entries mentioned "limits" in the sense of analysis/toplogy without pointing anywhere, which is why I created "limit of a sequence". Only after I had created it did I see that we had "convergence space". But [[limit of a sequence]] is just a stub anyway. It is good to have such an entry which briefly states the idea. For detailed discussion it can point to "converegence space" and I think all will be good.

   That makes sense. But I found that several entries mentioned “limits” in the sense of analysis/toplogy without pointing anywhere, which is why I created “limit of a sequence”. Only after I had created it did I see that we had “convergence space”.

   But limit of a sequence is just a stub anyway. It is good to have such an entry which briefly states the idea. For detailed discussion it can point to “converegence space” and I think all will be good.

4. • CommentRowNumber4.
   • CommentAuthorzskoda
   • CommentTimeApr 5th 2013
   • (edited Apr 5th 2013)
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   Author: zskoda
   Format: MarkdownItexI added > Warning: if $X$ is not a [[Hausdorff topological space]], there might be more than one point $x$ with the property that $(x_i)$ converges to $x$. Then we say that the sequence converges to the _set_ of all such points. and created the entry [[series]].

   I added

   Warning: if $X$ is not a Hausdorff topological space, there might be more than one point $x$ with the property that $(x_i)$ converges to $x$. Then we say that the sequence converges to the set of all such points.

   and created the entry series.

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeApr 5th 2013
   • (edited Apr 5th 2013)
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   Author: Urs
   Format: MarkdownItexThanks, good point.

   Thanks, good point.

6. • CommentRowNumber6.
   • CommentAuthorTobyBartels
   • CommentTimeJun 21st 2013
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   Author: TobyBartels
   Format: MarkdownItexMore expansion of [[convergence]].

   More expansion of convergence.