Timeline for Rigid structure which is generically homogeneous
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Jun 10, 2016 at 21:51 | comment | added | Danielle Ulrich | A structure $M$ is homogeneous if, whenever $A \mapsto B$ is a partial elementary map from $M$ to itself, where $|A|, |B| < |M|$, then for all $a \in M$ there is $b \in M$ such that $Aa \mapsto Bb$ is partial elementary. So this in fact compatible with rigidity: say let $M$ be any structure of size $\kappa$ for the language with $\kappa$-many constant symbols. Then $M$ is homogeneous and rigid. You probably want to ask for many automorphisms, rather than homogeneity. | |
| Jun 9, 2016 at 7:55 | answer | added | Mohammad Golshani | timeline score: 3 | |
| Jun 9, 2016 at 6:14 | history | asked | Asaf Karagila♦ | CC BY-SA 3.0 |