A Countable Structure Does Not Have a Free Uncountable Automorphism Group |
| |
| Authors: | Shelah Saharon |
| |
| Institution: | Institute of Mathematics, The Hebrew University of Jerusalem Jerusalem 91904, Israel; shelah{at}math.huji.ac.il |
| |
| Abstract: | It is proved that the automorphism group of a countable structurecannot be a free uncountable group. The idea is that insteadof proving that every countable set of equations of a certainform has a solution, it is proved that this holds for a co-meagrefamily of appropriate countable sets of equations. This researchwas partially supported by the Israel Science Foundation. |
| |
| Keywords: | |
| 本文献已被 Oxford 等数据库收录！ |
|
