Timeline for Stone-Cech Compactification of the real line
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 4, 2018 at 17:39 | answer | added | Robert Furber | timeline score: 3 | |
| Dec 4, 2018 at 10:25 | comment | added | user132068 | Yes Gillman and Hendriksen is the right reference for this. One can also prove that the closure of every open $F_{\sigma}$-set is open (this property is also known under $\sigma$-Stonean if I am right. This would imply that we have a F-space. | |
| Dec 4, 2018 at 9:19 | comment | added | Martin Sleziak | And since I see you have posted from an unregistered account, I will also mention that registering might be useful if you want to prevent the possibility that you lose access to your post in the future. More details on this can be found here: meta.mathoverflow.net/tags/unregistered-users/info | |
| Dec 4, 2018 at 9:16 | comment | added | Martin Sleziak | Perhaps you could add at least some reference to the fact that the Stone-Čech remainder is an F-space - I'd guess that the paper by Gillman and Henriksen: Rings of continuous functions in which every finitely generated ideal is principal doi.org/10.1090/S0002-9947-1956-0078980-4 seems like a reasonable candidate - and I suppose that after that we can delete all comments related to clarification of the question. | |
| Dec 4, 2018 at 9:11 | comment | added | user132068 | @MartinSleziak : I edited my definition of an F-space sorry for that. | |
| Dec 4, 2018 at 9:10 | comment | added | Martin Sleziak | Or perhaps you mean the meaning of F-space as the one used in Alan Dow's paper Some set-theory, Stone–Čech, and F-spaces doi.org/10.1016/j.topol.2011.06.007 and some other related papers cited there? | |
| Dec 4, 2018 at 9:09 | history | edited | user132068 | CC BY-SA 4.0 |
added 12 characters in body
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| Dec 4, 2018 at 8:57 | comment | added | YCor | This is not a vector space. Could you provide a correct link for F-space? And Fréchet space only makes sense for vector space, so this sounds senseless. | |
| Dec 4, 2018 at 8:55 | review | First posts | |||
| Dec 4, 2018 at 9:34 | |||||
| Dec 4, 2018 at 8:53 | history | asked | user132068 | CC BY-SA 4.0 |