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

Author

Jacob Hill, College of William and Mary

Date Thesis Awarded

5-2009

Access Type

Honors Thesis -- Access Restricted On-Campus Only

Degree Name

Bachelors of Science (BS)

Department

Mathematics

Advisor

D. J. Lutzer

Committee Members

George Rublein

Vladimir Bolotnikov

Laura Ekstrom

Abstract

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.

Recommended Citation

Hill, Jacob, "The Set of All Countable Ordinals: An Inquiry into Its Construction, Properties, and a Proof Concerning Hereditary Subcompactness" (2009). Undergraduate Honors Theses. William & Mary. Paper 255.
https://scholarworks.wm.edu/honorstheses/255

Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.

Comments

Thesis is part of Honors ETD pilot project, 2008-2013. Migrated from Dspace in 2016.