Department of
Mathematics

Billy Hudson

Thesis
Log
Version        Changes
05/07/2007
  • Made final format changes.
04/08/2007
  • Final Draft! (Except possible format changes by the graduate department.)
  • Minor change to the lemma and theorem.
  • Mentioned open problems about  T(rho_0) and  C(rho_0).
04/05/2006
  • Took boldface out of Table of Contents.
  • Kris fixed List of Figures.
  • Kris updated page numbers and labeling on Figures 1 through 3.
04/04/2007
  • Minor corrections.
  • Added two definitions as footnotes.
  • Created defense slides.
04/03/2007
  • Defense draft (!).
  • Put explanation of basis for uncountable linear orders before Countryman properties.
  • Minor corrections to proofs.
  • Deletion of several extraneous paragraphs/phrases.
  • Moved most paranthetical comments to footnotes.
03/03/2007
  • First Draft of Abstract, Chapters 1 & 2, and Appendix A.
03/24/2007
  • Second draft.
  • Rewrote Section 3.5.5 to make clear the differences when referencing Todorcevic's full lower trace and ours.
  • Rewrote Section 3.6 breaking it into Section 3.6.1 and Section 3.6.2 to make the flow clearer.
  • Changed the lemma to a theorem and the theorem to a corollary.
  • Completely rewrote the proof of the theorem (old lemma).
  • Made slides for BEST 2007.
03/22/2007
  • Complete first draft!
  • Eliminated Appendix A.
  • Reworked contents, including title, abstract, chapters, sections, and figures.
  • Added prose to Countryman Lines chapter and The Proof chapter.
  • Significantly reworked proof that C(rho_0) is Countryman.
  • Changed all "alpha<beta<gamma"s to "zeta<alpha<beta"s in Basic Facts section.
  • Changed order of arguments in all rho_0s so that larger ordinal is listed first.
02/17/2007
  • Made first stab at constructing a Countryman line.
  • Figured out how to use "markers" and  "cross references" in Tex.
  • Reworked outline.
02/10/2007
  • Added illustration of the walk.
  • Added several definitions, lemma's and proofs.
  • Subtracted most of the prose (to be added back in later).
  • Reworked independence stuff in appendix.
01/07/2007
  • Reworked contents and most definitions.
  • Added lemmas 8 and 9.
  • Transferred independence stuff to appendix.
  • Made textual changes throughout.
12/31/2006
  • Modified §§1.2.1, 1.3.1, & 1.3.2.
  • Added text to §§ 1.3.2 & 1.3.3.
12/29/2006
  • Added text to §§1.3.1, & 1.3.2.
12/22/2006
  • Adjusted chapter and section headings.
  • Added text to ch.0 & §§1.1, 1.2.1, 1.2.2, 1.2.3, 1.2.4, 1.3.1.
11/28/2006
  • Added sketch of construction of a C-sequence to § 1.1.1.
11/26/2006
  • Added some stuff on independence of  C-sequences from ZF to § 1.1.1.
  • Adjusted section/subsection headings and bullet items for §§ 1.2-1.4.
  • Created proposal slides for 15 minute presentation on 11/30/2006.
11/21/2006
  • Added abstract.
  • Added bullet items under "Key Facts" sections of chapters 2-5.
11/20/2006
  • Met with Justin to talk about comments added on 11/06/2006.
  • Deleted SLOG chapter.
  • Adjusted style sheet to put "Chapter #" and "Chapter Title" on different lines.
  • Adjusted section headings throughout.
  • Deleted comments and added bullet items to Chapter 1 giving a fuller outline of the chapter.
11/07/2006
  • Created SLOG chapter.
  • Removed front matter for ease of perusing.
  • Created Thesis Log web page.
11/06/2006
  • Adjusted content of chapter headings, subsections, and subsubsections.
  • Removed sample definition headings.
  • Changed level of table of contents to "3".
  • Added comments 1.1 (a), 1.1.1 (a); 1.1.2 (a)-(e), 1.1.3 (a)-(d), 1.1.4 (a)-(e).
11/05/2006
  • Created BSU thesis shell by modifying University of Utah's thesis shell.
    • Used BSU Graduate College's "STANDARDS for PREPARATION of DISSERTATIONS THESES & PROJECTS"
    • Adjusted Title page macro so format conforms with standards.
    • Modified subsection macro to deunderline heading to conform with standards.
    • Adjusted page numbering to conform with standards .
  • Adjusted content of title, chapter headings, subsections, and subsubsections.
  • Added sample definition headings.
11/04/2006
  • Used University of Utah's thesis macro to get started.
  • Created Title and Approval page.
  • Populated chapter headings, subsections, and subsubsections.
11/01/2006
  • Created notes for thesis outline.