File:Billy Hudson-Countryman Lines and Minimal Walks.pdf

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Billy_Hudson-Countryman_Lines_and_Minimal_Walks.pdf (1,275 × 1,650 pixels, file size: 397 KB, MIME type: application/pdf)

The objective of this thesis is to give a novel proof that the uncountable linear order C(\rho_0) 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.

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current17:34, 4 September 2010Thumbnail for version as of 17:34, 4 September 20101,275×1,650, 44 pages (397 KB)Katie Thompson (Talk | contribs) (The objective of this thesis is to give a novel proof that the uncountable linear order <math>C(\rho_0)</math> is a Countryman line using an innovative presentation of the full lower trace from Todorcevic's method of minimal walks. In order to motivate th)
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