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Set Theory

Dieterly, Andrea K.
http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1304689030

Abstract Details

2011, Master of Arts (MA), Bowling Green State University, Mathematics/Mathematics (Pure).
This manuscript is to show the equivalency of the Axiom of Choice, Zorn's Lemma and Zermelo's Well-Ordering Principle. Starting with a brief history of the development of set history, we introduce the Axioms of Zermelo-Fraenkel, common applications of the axioms, and set theoretic descriptions of sets of numbers. The book, Introduction to Set Theory, by Karel Hrbacek and Thomas Jech is the primary resource with other sources providing additional background information.
Warren Wm. McGovern, PhD (Committee Chair)
Juan Bes, PhD (Committee Member)
Rieuwert Blok, PhD (Committee Member)
39 p.
Mathematics; Theoretical Mathematics
set theory; Zermelo-Fraenkel axioms

Recommended Citations

Citations

  • Dieterly, A. K. (2011). Set Theory [Master's thesis, Bowling Green State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1304689030

    APA Style (7th edition)

  • Dieterly, Andrea. Set Theory. 2011. Bowling Green State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1304689030.

    MLA Style (8th edition)

  • Dieterly, Andrea. "Set Theory." Master's thesis, Bowling Green State University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1304689030

    Chicago Manual of Style (17th edition)

bgsu1304689030
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© 2011, all rights reserved.
This open access ETD is published by Bowling Green State University and OhioLINK.