tag:blogger.com,1999:blog-12604614.post115821634500584555..comments2023-06-12T05:26:38.585-07:00Comments on Math Refresher: Heine-Cantor TheoremLarry Freemanhttp://www.blogger.com/profile/06906614246430481533noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-12604614.post-1821958154196885372013-02-02T04:29:01.253-08:002013-02-02T04:29:01.253-08:00This is an example of proof involving sequential c...This is an example of proof involving sequential compactness<br />http://en.wikipedia.org/wiki/Heine%E2%80%93Cantor_theoremAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-12604614.post-24915472505109554072010-10-26T16:41:02.854-07:002010-10-26T16:41:02.854-07:00Hi Keven,
Thanks the for your thoughts on the blo...Hi Keven,<br /><br />Thanks the for your thoughts on the blog!<br /><br />Feel free to add your ideas for shortening the proof!<br /><br />My proof is taken straight out of a textbook. If it can be improved, I think that others would like to know.<br /><br />Cheers,<br /><br />-LarryLarry Freemanhttps://www.blogger.com/profile/06906614246430481533noreply@blogger.comtag:blogger.com,1999:blog-12604614.post-91534705621857081632010-10-26T16:33:34.717-07:002010-10-26T16:33:34.717-07:00I know you wrote this along time ago, I'm just...I know you wrote this along time ago, I'm just seeing it now though. I gotta ask, why not use sequential compactness? it shortens the proof considerably. <br /><br />I just discovered this blog, gotta tell you, I think it's great!kSaugahttps://www.blogger.com/profile/10383064863774679836noreply@blogger.comtag:blogger.com,1999:blog-12604614.post-88990197388864999652010-10-26T16:15:51.602-07:002010-10-26T16:15:51.602-07:00Nice proof. I recently had to do it similarly usin...Nice proof. I recently had to do it similarly using Lebesgue number lemma.kSaugahttps://www.blogger.com/profile/10383064863774679836noreply@blogger.com