Tuesday, June 7, 2016

6/7/2016

Getting that all of the finite combinations are Jonsson was ridiculous. I think my write-up just about doubled in length. I need to actually proofread the thing now, and actually do the Rowbottom and Ramsey analysis in more detail. As far as I can tell, I had to generalize Jackson's result about all cardinals being Jonsson but do it for a pair of cardinals. The result is kind of exciting, but the techniques are mainly minor variations on the techniques of Jackson's original proof. There are so many cases. It feels good though. I'm hoping the complete Jonsson, Rowbottom, and Ramsey analysis for all finite combinations will be enough the dissertation.

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