Initial context setting
It's really inappropriate to begin a Wikipedia article by saying "Given a Lie group G,...", as if you could assume the reader is a mathematician. You need to tell the lay reader immediately that mathematics is what the article is about. I began reading an article titled schismatic temperament, and being familiar with the usual meaning of the word schismatic and the usual meaning of the word temperament, I thought maybe it was an article about a psychiatric disorder. I got all the way to the end of the first sentence without finding out otherwise. It was actually about musical tuning. I put in some introductory context-setting words "In music, ...". That's all it takes. Michael Hardy (talk) 02:57, 14 December 2007 (UTC)
The latest version of Limits
Yes, I like your most recent version best of all. Putting the informal and non-specific description before the more specific (though still informal) description does alleviate my concern about its accuracy. Silly rabbit (talk) 18:56, 4 January 2008 (UTC)
While I agree that an article intro should speak to the average reader, I strongly believe that an introduction should not make statements that are false. There are plenty of examples of topology (the donut coffee cup being the most familiar) that convey some of the feel of topology without making statements that are incorrect. Rick Norwood (talk) 12:22, 20 March 2008 (UTC)
I appreciate your comments, but I disagree. The topology article has been fairly stable for a long time, and while I am sure it can be improved, I do not think it needs a major rewrite.
When I first came to Wikipedia, I spent my first year editing articles on mathematics topics that were not currently covered in Wikipedia. Only then did I begin to work on a few of the more important articles, such as topology. Rick Norwood (talk) 12:33, 21 March 2008 (UTC)
A former student of yours was in the mathematics section of B&N today, and he dreamed there was a book on trace diagrams. At least there's a wikipedia page on it — it just needs some work. Let's get to that in our spare time. Ancestralocean (talk) 02:47, 26 June 2009 (UTC)