A Canonical Countryman Line
Type of Culminating Activity
Master of Science in Mathematics
Justin Tatch Moore
The objective of this thesis is to give a novel proof that the uncountable linear order C(ρ0) is a Countryman line using an innovative presentation of the full lower trace from Todorcevic's method of minimal walks. In order to motivate the subject we will explicate the basis problem for the class of uncountable linear orders and prove several facts indicating the intrinsic interest of Countryman lines. In order to facilitate the proof we will give a short primer on the method of minimal walks.
Hudson, William Russell, "A Canonical Countryman Line" (2007). Boise State University Theses and Dissertations. 560.