Timeline for Name of the class of linearly ordered groups with no minimal positive element
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 2, 2020 at 18:55 | vote | accept | Alex Ravsky | ||
| Feb 9, 2020 at 2:48 | answer | added | YCor | timeline score: 2 | |
| Feb 9, 2020 at 2:16 | history | edited | YCor | CC BY-SA 4.0 |
removed unnecessary sentences, added tag
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| Sep 22, 2015 at 7:25 | comment | added | Dave Witte Morris | I assume the order is translation invariant. Then I think people usually express this condition by saying that the order is "dense" (meaning that if $a < b$, then there exists $x$, such that $a < x < b$). So the group is "densely ordered". However, an alternative would be to say that the order has no isolated points (if $a < x < b$, then there exists $y \neq x$ with $a < y < b$). | |
| Sep 22, 2015 at 6:55 | comment | added | Alex Ravsky | Yes, $e$ is the identity of the group. | |
| Sep 22, 2015 at 6:53 | comment | added | Salvo Tringali | I don't know if there is a standard name for this, but, assuming $e$ in the OP is the identity of the group, a possibility would be "non-atomic l.o. groups" (cf. en.wikipedia.org/wiki/Atom_%28order_theory%29). | |
| Sep 22, 2015 at 6:41 | history | asked | Alex Ravsky | CC BY-SA 3.0 |