Talk:Representation theorem
 | This article is rated Start-class on Wikipedia's content assessment scale. It is of interest to the following WikiProjects: | ||||||||||
| |||||||||||
This seems too restrictive
[edit]What about the Kolmogorov–Arnold representation theorem? I don't think we can see it in terms of isomorphism. What about the representation theorems in logic that show semantic equivalence? These send structures with one signature into structures with a different signature. So, we cannot have any isomorphism in these cases. I suspect that there are plenty of other examples of representation theorems that do not and cannot use the notion of isomorphism, which is very strong. --Dominic Mayers (talk) 19:59, 23 December 2018 (UTC)