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Mar 26, 2010 at 17:42 comment added Joel David Hamkins I added some further explanation. It's not correct that it fails when the ultrafilter is not normal, but rather, it fails when the ultrafilter is not isomorphic to any normal ultrafilter. This is what the second theorem says.
Mar 26, 2010 at 17:41 history edited Joel David Hamkins CC BY-SA 2.5
Expanded explanation as requested
Mar 26, 2010 at 17:11 comment added kvagk Dear Prof. Hamkins, Thanks a lot for the answer and sorry for my late feedback. Could you please elaborate a little bit more on why the desired property fails when the ultrafilter is not normal? Thanks again.
Mar 26, 2010 at 17:09 vote accept kvagk
Mar 23, 2010 at 19:40 comment added Joel David Hamkins You might be interested in looking at mathoverflow.net/questions/13795 for an example of how seed theory is used to analyze the nature of an ultrapower embedding.
Mar 23, 2010 at 18:59 history answered Joel David Hamkins CC BY-SA 2.5