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The Set of All Countable Ordinals: An Inquiry into Its Construction, Properties, and a Proof Concerning Hereditary Subcompactness

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Author: Hill, Jacob
Advisor: Lutzer, D. J. (David John), 1943-
Committee Members: Rublein, George; Bolotnikov, Vladimir, 1962-; Ekstrom, Laura
Issued Date: 2009-05-07
Subjects: Mathematics
Well-Order
Countable Ordinals
Subcompact
URI: http://hdl.handle.net/10288/1174
Description: This thesis looks at the construction of the set of all countable ordinals without the use of the axiom of choice. It also looks at some general properties of the set and its subsets, along with a proof concerning its hereditary subcompactness.
Degree: Bachelors of Science in Mathematics


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Files Size Format View Description
HillJacob2009_Chapter1.pdf 165.4Kb PDF View/Open Chapter 1: Construction without Choice
HillJacob2009_Chapter2.pdf 196.2Kb PDF View/Open Chapter 2: Properties of the Set
HillJacob2009_Chapter3.pdf 88.46Kb PDF View/Open Chapter 3: Hereditary Subcompactness
HillJacob2009_TitlePage.pdf 10.41Kb PDF View/Open Title Page
HillJacob2009_CoverPage_TableofContents.pdf 8.974Kb PDF View/Open Cover Page and Table of Contents
HillJacob2009_Bibliography.pdf 14.47Kb PDF View/Open Bibliography

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