Ramsey theory of cardinals, ordinals, trees, and partial orders

Sun, 19/06/2016 - 12:00
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Abstract: 

We explore results of Ramsey theory (also known as partition calculus) and show how they apply to cardinals, ordinals, trees, and arbitrary partial orders, leading up to the main result which is a generalization to trees of the Balanced Baumgartner-Hajnal-Todorcevic Theorem.

 

A full exposition of the results is contained in my PhD thesis, available at http://hdl.handle.net/1807/68124.