Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/37845
Title: Characterization and Transformation of Countryman Lines and R-Embeddable Coherent Trees in ZFC
Authors: PENG YINHE
Keywords: coherent tree, Countryman line, R-embeddable, transformation, ranging, basis
Issue Date: 28-Jan-2013
Citation: PENG YINHE (2013-01-28). Characterization and Transformation of Countryman Lines and R-Embeddable Coherent Trees in ZFC. ScholarBank@NUS Repository.
Abstract: This thesis investigates the transformation between R-embeddable coherent trees and Countryman lines. I will show that it is consistent to have a R-embeddable coherent tree whose lexicographical order is not Countryman and moreover it has no Countryman suborder. I will also give an equivalence relation for an R-embeddable coherent tree to be Countryman. Some properties about basis for Countryman lines which is related to transform Countryman lines to coherent trees will be given in this thesis too.
URI: http://scholarbank.nus.edu.sg/handle/10635/37845
Appears in Collections:Ph.D Theses (Open)

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