Timeline for Jonsson Boolean algebras?
Current License: CC BY-SA 3.0
15 events
| when toggle format | what | by | license | comment | |
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| Oct 17, 2018 at 13:21 | answer | added | YCor | timeline score: 4 | |
| Oct 17, 2018 at 10:41 | history | edited | YCor |
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| S Nov 24, 2014 at 22:35 | history | suggested | Avshalom | CC BY-SA 3.0 |
fixed grammar
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| Nov 24, 2014 at 22:28 | review | Suggested edits | |||
| S Nov 24, 2014 at 22:35 | |||||
| Aug 23, 2014 at 16:17 | history | edited | Tomasz Kania | CC BY-SA 3.0 |
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| Oct 31, 2013 at 13:30 | history | edited | Tomasz Kania | CC BY-SA 3.0 |
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| Oct 26, 2012 at 7:09 | answer | added | Greg Oman | timeline score: 5 | |
| Sep 2, 2011 at 15:08 | answer | added | Avshalom | timeline score: 4 | |
| Jul 12, 2011 at 15:00 | comment | added | Ali Enayat | I can also recommend the following useful survey (alas, it does not seem to be available online). Coleman, Eoin; Jonsson groups, rings and algebras. Irish Math. Soc. Bull. No. 36 (1996), 34–45. The author's name appears is spelled OREN KOLMAN on his homepage. | |
| Jul 12, 2011 at 2:12 | answer | added | Ali Enayat | timeline score: 11 | |
| Jul 11, 2011 at 22:51 | comment | added | Ali Enayat | Since you asked for other examples: it is known that there are Jonsson models of PA (Peano Arithmetic). as well as ZFC (Zermelo-Fraenkel set theory with the axiom of choice) of power $\aleph_1$ in the following sense: there are models of $PA$ and $ZFC$ of power $\aleph_1$ that have no proper uncountable elementary submodel. This result is due to Julia Knight (Hanf numbers for omitting types over particular theories. J. Symbolic Logic 41 (1976), no. 3, 583–588). A different proof was given by Kossak and Schmerl in their book on models of $PA$. | |
| Jul 11, 2011 at 22:36 | comment | added | Ali Enayat | My understanding is that it was Ol'shanskii who first constructed a countable Jonsson group (an infinite group all of whose subgroups are finite). Later Shelah constructed an uncountable Jonsson group (the so-called Kurosh monster). | |
| Jul 11, 2011 at 17:41 | vote | accept | Tomasz Kania | ||
| Jul 11, 2011 at 17:33 | answer | added | Joel David Hamkins | timeline score: 27 | |
| Jul 11, 2011 at 16:55 | history | asked | Tomasz Kania | CC BY-SA 3.0 |