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Boise Extravaganza in Set Theory
March 25-26, 2007
Knotty Pines Kabins
Idaho City, ID, USA

Organizers
Liljana Babinkostova, Stefan Geschke, Justin Moore, and Marion Scheepers

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A Canonical Countryman Line
by
Billy Hudson
Boise State University

We will sketch give a novel proof that the uncountable linear order C( r0) is a Countryman line using an innovative presentation of the full lower trace from Todorcevic's method of minimal walks. We'll motivate the subject by giving several facts indicating the intrinsic interest of Countryman lines including the basis problem for the class of uncountable linear orders and to facilitate the proof we will give a short primer on the method of minimal walks.

Date received: March 21, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caty-13.