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There is a page named "Talk:Tychonoff's theorem" on Wikipedia
- that Tychonoff's theorem is complex - what does that mean? (Certainly it is always difficult to rigorously use the axiom of choice. But is this theorem harder...14 KB (2,168 words) - 05:43, 9 March 2024
- it. By the way, everyone still does write "Tychonoff", including the wikipedia entry on Tychonoff's theorem (which by chance I rewrote, but not for linguistic...7 KB (1,239 words) - 18:23, 24 April 2024
- Talk:Metrizable space (redirect from Metrization theorem)Under Tychonoff's assumptions X is in fact normal: second-countable implies Lindelöf, and Lindelöf + regular implies normal (this is Tychonoff's lemma)...3 KB (430 words) - 04:12, 6 February 2024
- invoke the finite intersection axiom, related to axiom of choice by Tychonoff's theorem; the relationship is not clear to me just right now. I guess this...2 KB (211 words) - 21:08, 1 February 2024
- 126 bytes (0 words) - 17:57, 21 September 2014
- which is not necessary or appropriate—with the axiom of choice, Tychonoff's theorem is available. Planetmath gives a more reasonable proof. Dfeuer (talk)...4 KB (722 words) - 11:33, 10 February 2024
- regular is the Tychonoff corkscrew. Red link, but OK. 67.198.37.16 (talk) 18:31, 26 November 2023 (UTC) The Tietze extension theorem can be applied to...13 KB (1,900 words) - 05:45, 9 March 2024
- proving the results we state as Theorems 6.42, 6.47, and 6.48. Does anyone know about other sources supporting Tychonoff's precedence? If the claim is false...14 KB (2,070 words) - 07:20, 9 April 2024
- Talk:Haar measure (section The theorem)however, was criticized for using the Axiom of Choice in the form of Tychonoff’s Theorem. Later, Henri Cartan proved the existence of invariant measures on...20 KB (3,138 words) - 01:03, 9 March 2024
- 2002 CSTAR 01:34, 21 Sep 2004 (UTC) The theorem is said to be "a direct application of the Tychonoff theorem". From this, I understand that one should...7 KB (1,093 words) - 22:41, 13 April 2024
- for "gelfand" AND "naimark" AND "theorem" brings up many references to my theorem but no references to your theorem that don't also have the name "Segal"...15 KB (2,360 words) - 02:07, 9 March 2024
- tell you its location, and I apologize again for that.) Of course, Tychonoff's theorem, and the fact that [ 0 , 1 ] ω {\displaystyle [0,1]^{\omega }} is...17 KB (2,614 words) - 06:38, 9 February 2024
- compact Hausdorff space. Because Y is compact, the limit required for the theorem will exist. Because a compact Hausdorff space is regular, the condition...11 KB (1,850 words) - 18:43, 9 February 2024
- for free. That's because the representation space is compact (by Tychonoff's theorem), so any closed set is compact. Then the continuous image of a closed...28 KB (3,939 words) - 13:09, 17 August 2024
- This is a mistake. Moreover, this mistake reflects in the subsequent theorem, when it is proved that a compact space is net-compact. If the proof whose...9 KB (1,167 words) - 18:59, 6 February 2024
- I know filters are very important. IMO the best looking proof of Tychonoff's theorem is using ultrafilters. But after reading the sections above me I...39 KB (6,480 words) - 23:59, 27 July 2024
- parts of functional analysis rest? Tychonoffs theorem will definitly have to go and along with it many existence theorems in e.g. differential equations....99 KB (15,881 words) - 14:09, 11 May 2019
- Kelley's book is also very famous, and he proved the theorem that AC is equivalent to Tychonoff's theorem. Articles on these people are certainly welcome and...96 KB (14,964 words) - 15:14, 21 October 2021
- group is an restricted wreath product whereas the Universal Embedding Theorem (every extension of A by H is a subgroup of A Wr H) requires the unrestricted...18 KB (2,805 words) - 05:02, 11 February 2024
- bounded. This is not a definition, this is the result of a theorem (the Heine-Borel theorem). I didn't read any farther in the article. I agree with a...111 KB (15,837 words) - 23:55, 26 November 2023
- (see the various metrization theorems). Also note that 'completeness' is a topological property in the sense that: A Tychonoff topological space is Cech-complete