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You searched for +publisher:"University of Illinois – Chicago" +contributor:("VanDieren, Monica"). One record found.

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1. Drueck, Fred R. Limit Models, Superlimit Models, and Two Cardinal Problems in Abstract Elementary Classes.

Degree: 2013, University of Illinois – Chicago

This dissertation examines three main topics, the topic of defining "superstability" for abstract elementary classes (AECs), uniqueness of limit models, and two cardinal models in abstract elementary classes. In particular we further generalize an analogue of Vaught's theorem which constructs an uncountable two cardinal model starting from the existence of a countable Vaughtian pair in an elementary class to the AEC context originally published by Lessmann, who in turn built upon the work of Grossberg and VanDieren, Shelah, and others. We also give various sufficient conditions on countable models, as well as a condition on models of size kappa that, assuming that a simplified morass,ñ allows us to construct a (kappa^++,kappa)-model. We discuss how this work in AECs to some degree parallels the proof of Jensen's Gap-2 transfer theorem for elementary classes. We also discuss difficulties inherent in proving a true gap-2 transfer theorem for AECs. Additionally, we discuss, progress that has been made toward proving the uniqueness of limit models assuming various "superstability-like" assumptions (much of the work described is due to Shelah, Villaveces, Grossberg, and VanDieren). One small original result is contributed to this discussion. Advisors/Committee Members: Baldwin, John T. (advisor), Marker, David (committee member), Takloo-Bighash, Ramin (committee member), VanDieren, Monica (committee member), Scow, Lynn (committee member).

Subjects/Keywords: Limit Models; Superlimit Models; Two Cardinal Problems; two cardinal models; two cardinal; 2 cardinal; 2 cardinal problems; 2 cardinal model; gap-2 transfer; gap-2; Abstract Elementary Classes; mathematical logic; uniqueness of limit models; morasses; lessmann

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Drueck, F. R. (2013). Limit Models, Superlimit Models, and Two Cardinal Problems in Abstract Elementary Classes. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/9996

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Drueck, Fred R. “Limit Models, Superlimit Models, and Two Cardinal Problems in Abstract Elementary Classes.” 2013. Thesis, University of Illinois – Chicago. Accessed July 03, 2020. http://hdl.handle.net/10027/9996.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Drueck, Fred R. “Limit Models, Superlimit Models, and Two Cardinal Problems in Abstract Elementary Classes.” 2013. Web. 03 Jul 2020.

Vancouver:

Drueck FR. Limit Models, Superlimit Models, and Two Cardinal Problems in Abstract Elementary Classes. [Internet] [Thesis]. University of Illinois – Chicago; 2013. [cited 2020 Jul 03]. Available from: http://hdl.handle.net/10027/9996.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Drueck FR. Limit Models, Superlimit Models, and Two Cardinal Problems in Abstract Elementary Classes. [Thesis]. University of Illinois – Chicago; 2013. Available from: http://hdl.handle.net/10027/9996

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

.