Timeline for What is your favorite proof of Tychonoff's Theorem?
Current License: CC BY-SA 2.5
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 1, 2010 at 7:58 | history | edited | KP Hart | CC BY-SA 2.5 |
\v{C}ech -> Čech; emended translation.
|
| May 31, 2010 at 12:28 | comment | added | Pierre-Yves Gaillard | Here are different links to Tychonoff's articles: Über die topologische Erweiterung von Räumen (springerlink.com/content/l656352441w67612/…). Ein Fixpunktsatz (springerlink.com/content/n61706447r886l58/…). | |
| May 31, 2010 at 10:45 | comment | added | Pierre-Yves Gaillard | Thank you! Two more suggestions: (1) Replace "This one proves word for word as in he case" by "One proves this theorem word for word as in the case". (2) To type Cech with the caron, copy and paste "Čech" (without the quotation marks). (It should work.) | |
| May 31, 2010 at 7:36 | history | edited | KP Hart | CC BY-SA 2.5 |
Inserted contents of comment into answer.
|
| May 31, 2010 at 7:01 | comment | added | Pierre-Yves Gaillard | Very interesting!!! Thank you! --- I was wondering if you couldn't insert the contents of your comment into your answer, to make them more visible. | |
| May 30, 2010 at 19:01 | comment | added | KP Hart | Walter Rudin expressed the same opinion in his `Functional Analysis' but on pae 772 of the second paper that I linked to you'll find (in my translation): The product of compact spaces is again compact. This one proves word for word as in he case of the compactness of the product of intervals. I think Tychonoff deserves full credit for the theorem and its proof. The proof in \v{C}ech's paper is the same as Tychonoff's. | |
| May 30, 2010 at 18:26 | history | edited | KP Hart | CC BY-SA 2.5 |
the the -> the
|
| May 30, 2010 at 16:45 | comment | added | Pierre-Yves Gaillard | Dear KP Hart: Thank you for your answer. (It contains at least one typo ("the the proof").) --- Folland (Real Analysis) claims that the general statement is due to Cech (On bicompact spaces, Ann. of Math. 38 (1937), 823-844. MR 1503374). What's your opinion? | |
| May 30, 2010 at 14:41 | history | answered | KP Hart | CC BY-SA 2.5 |