Timeline for About the generating structure of Borel field
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Jul 14, 2016 at 23:21 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Jun 14, 2016 at 22:47 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| May 15, 2016 at 22:19 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Sep 11, 2015 at 2:14 | answer | added | Henry.L | timeline score: 2 | |
| Sep 11, 2015 at 0:17 | comment | added | Henry.L | @ChristianRemling I have already tried to write up a proof following Mr.Edgar's reference, I think I can answer my own question later. Thanks for you kindness. | |
| Sep 10, 2015 at 22:50 | comment | added | Christian Remling | I think you'll have to read up a little on the basics of ordinals and cardinal arithmetic, then (2) becomes essentially trivial. The hint (your box) gives the claimed representation of $\sigma(A)$, and the claim on the cardinality follows from $|A_{\alpha}|=c$ (by induction) and $c^{\omega}=c$. | |
| Sep 10, 2015 at 2:38 | comment | added | Nate Eldredge | Please add a link to the Math.SE question. | |
| Sep 10, 2015 at 0:55 | comment | added | Gerald Edgar | I first saw this in Hewitt & Stromberg, Real and Abstract Analysis. | |
| Sep 10, 2015 at 0:52 | comment | added | Henry.L | @GeraldEdgar I am very confused about author's words so do you know any text that addresses the same problem more clearly? Thanks. | |
| Sep 10, 2015 at 0:47 | comment | added | Gerald Edgar | I think "a countable sequence of these operations" is in this notation $\mathcal A_\omega$. But a countable ordinal is "a countable ordered set" so that part refers to $\mathcal A_\alpha$ for a countable ordinal. | |
| Sep 10, 2015 at 0:25 | history | asked | Henry.L | CC BY-SA 3.0 |