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ohiou1247244525.pdf (443.55 KB)
ETD Abstract Container
Abstract Header
Applications of Elementary Submodels in Topology
Author Info
Dolph Bosley, Laura Lee
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1247244525
Abstract Details
Year and Degree
2009, Doctor of Philosophy (PhD), Ohio University, Mathematics (Arts and Sciences).
Abstract
The purpose of this thesis is to investigate a topological construction using elementary submodels. In the second chapter, the construction is used to obtain some results on realcompactness and completeness. More interestingly, the construction is used to prove the separable case of Nikiel's conjecture that a space is compact and monotonically normal if and only if it is the continuous image of some compact, linearly ordered space. This result is originally due to M.E. Rudin by a more difficult method.
Committee
E. Todd Eisworth, PhD (Advisor)
Alexander Arhangel'skii, PhD (Committee Member)
Dennis Burke, PhD (Committee Member)
Vladimir Uspenskiy, PhD (Committee Member)
Philip Ehrlich, PhD (Committee Member)
Pages
113 p.
Subject Headings
Mathematics
Keywords
elementary submodels
;
Nikiel's conjecture
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Citations
Dolph Bosley, L. L. (2009).
Applications of Elementary Submodels in Topology
[Doctoral dissertation, Ohio University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1247244525
APA Style (7th edition)
Dolph Bosley, Laura.
Applications of Elementary Submodels in Topology.
2009. Ohio University, Doctoral dissertation.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1247244525.
MLA Style (8th edition)
Dolph Bosley, Laura. "Applications of Elementary Submodels in Topology." Doctoral dissertation, Ohio University, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1247244525
Chicago Manual of Style (17th edition)
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Document number:
ohiou1247244525
Download Count:
832
Copyright Info
© 2009, all rights reserved.
This open access ETD is published by Ohio University and OhioLINK.