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Topic: Problem understanding proof of Jordan Curve Theorem
Replies: 13   Last Post: Jul 12, 2013 9:25 AM

 Messages: [ Previous | Next ]
 Paul Posts: 780 Registered: 7/12/10
Re: Problem understanding proof of Jordan Curve Theorem
Posted: Jul 11, 2013 11:20 AM

On Thursday, July 11, 2013 3:53:03 PM UTC+1, dull...@sprynet.com wrote:

David,

Thank you for this reply. I agree with almost everything you (and Rupert) have said on this thread. A few points to clarify where I stand:
I did not initially see the value to your comments about the clarity of the point I was stuck on. Those comments did not seem helpful (but do now seem helpful in the light of your recent post). Apparently, the purpose was to alert me to the fact that I need to understand some of the underlying theory/ proof techniques better -- I didn't initially realise that you had that purpose.

A fact is that I do enjoy digesting the proofs of classical theorems (like JCT) but do not usually enjoy trying to solve maths problems or exercises. (Not wanting to do the exercises would be a worrying trait for a maths academic or student but I don't have either role.) That explains why I didn't do many exercises in Rudin. I may rethink that approach if it means I'm unable to understand a lot of the classical results I'm trying to learn the proofs of -- like JCT, Stokes Theorem and Brouwer's theorem, the isoperimetric theorem in two dimensions etc.

Previously, when I said "remark", I meant the mathematical statement which I asked about at the beginning of this thread. You are correct that I should not have used the word "remark". Perhaps I should have said "claim".

I'm steadily making progress on the Tverberg paper. I very much hope not to get stuck again. If I do get stuck, I'm sure that you or others will be kind enough to help me fill in the gaps, as the sci.math community has always made an excellent job of doing in the past.

Thanks again,

Paul Epstein

Date Subject Author
7/9/13 Paul
7/9/13 Paul
7/10/13 Rupert
7/10/13 Paul
7/10/13 Rupert
7/10/13 Paul
7/10/13 Rupert
7/10/13 Rupert
7/10/13 David C. Ullrich
7/10/13 David C. Ullrich
7/11/13 Paul
7/11/13 David C. Ullrich
7/11/13 Paul
7/12/13 Paul