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On the Development of Descriptive Set Theory

Description: In the thesis, the author traces the historical development of descriptive set theory from the work of H. Lebesgue to the introduction of projective descriptive set theory. Proofs of most of the major results are given. Topics covered include Corel lattices, universal sets, the operation A, analytic sets, coanalytic sets, and the continuum hypothesis The appendix contains a translation of the famous letters exchanged between R. Baire, E. Borel, J. Hadamard and H. Lebesgue concerning Zermelo's a… more
Date: August 1988
Creator: Schlee, Glen A. (Glen Alan)
Partner: UNT Libraries
open access

Borel Determinacy and Metamathematics

Description: Borel determinacy states that if G(T;X) is a game and X is Borel, then G(T;X) is determined. Proved by Martin in 1975, Borel determinacy is a theorem of ZFC set theory, and is, in fact, the best determinacy result in ZFC. However, the proof uses sets of high set theoretic type (N1 many power sets of ω). Friedman proved in 1971 that these sets are necessary by showing that the Axiom of Replacement is necessary for any proof of Borel Determinacy. To prove this, Friedman produces a model of ZC and… more
Date: December 2001
Creator: Bryant, Ross
Partner: UNT Libraries
open access

Contributions to Descriptive Set Theory

Description: In this dissertation we study closure properties of pointclasses, scales on sets of reals and the models L[T2n], which are very natural canonical inner models of ZFC. We first characterize projective-like hierarchies by their associated ordinals. This solves a conjecture of Steel and a conjecture of Kechris, Solovay, and Steel. The solution to the first conjecture allows us in particular to reprove a strong partition property result on the ordinal of a Steel pointclass and derive a new boundedn… more
Date: August 2015
Creator: Atmai, Rachid
Partner: UNT Libraries
open access

AACR 2 Headings: A Five-Year Projection of Their Impact on Catalogs

Description: Text providing an overview of research and results regarding the implementation of AACR2 (Anglo-American Cataloging Rules, Second Edition) and the effects on existing catalogs. It includes an overview of the problem and hypotheses, literature review, general research method, description of study libraries, differences found in samples between AACR 2 and pre-AACR 2 headings, conflicting headings found in catalogs, OCLC (Online Computer Library Center) and AACR 2 headings, summary and conclusion… more
Date: 1982
Creator: Taylor, Arlene G., 1941-
Partner: UNT Libraries
open access

Descriptive Complexity in Cantor Series

Description: Article discusses how a Cantor series expansion for a real number x with respect to a basic sequence Q=(q), where qi≥2, is a generalization of the base b expansion to an infinite sequence of bases. The authors show that for any basic sequence the set of distribution normal numbers is Π03-complete, and if Q is 1-divergent then the sets of normal and ratio normal numbers are Π03-complete.
Date: September 27, 2021
Creator: Airey, Dylan; Jackson, Steve & Mance, Bill
Partner: UNT College of Science
open access

Contributions to Descriptive Set Theory

Description: Assume AD+V=L(R). In the first chapter, let W^1_1 denote the club measure on \omega_1. We analyze the embedding j_{W^1_1}\restr HOD from the point of view of inner model theory. We use our analysis to answer a question of Jackson-Ketchersid about codes for ordinals less than \omega_\omega. In the second chapter, we provide an indiscernibles analysis for models of the form L[T_n,x]. We use our analysis to provide new proofs of the strong partition property on \delta^1_{2n+1}
Date: December 2016
Creator: Dance, Cody
Partner: UNT Libraries
open access

A Study of the Knowledge and Skills Required of Draftsmen in Descriptive Geometry, and What is Offered in Texas Junior Colleges

Description: This study was conducted to ascertain whether or not the opportunities for developing competencies in descriptive geometry needed by draftsmen in the Dallas -Fort Worth area are being provided in Texas junior colleges. Findings concerning the knowledge, skills, and equipment associated with descriptive geometry as it is presented in Texas junior colleges were compared with competencies in descriptive geometry that representatives of industry believe are important for successful draftsmen in com… more
Date: May 1972
Creator: Ewing, George E.
Partner: UNT Libraries
open access

Applications of a Model-Theoretic Approach to Borel Equivalence Relations

Description: The study of Borel equivalence relations on Polish spaces has become a major area of focus within descriptive set theory. Primarily, work in this area has been carried out using the standard methods of descriptive set theory. In this work, however, we develop a model-theoretic framework suitable for the study of Borel equivalence relations, introducing a class of objects we call Borel structurings. We then use these structurings to examine conditions under which marker sets for Borel equival… more
Date: August 2019
Creator: Craft, Colin N.
Partner: UNT Libraries
open access

Algebraically Determined Semidirect Products

Description: Let G be a Polish group. We say that G is an algebraically determined Polish group if given any Polish group L and any algebraic isomorphism from L to G, then the algebraic isomorphism is a topological isomorphism. We will prove a general theorem that gives useful sufficient conditions for a semidirect product of two Polish groups to be algebraically determined. This will smooth the way for the proofs for some special groups. For example, let H be a separable Hilbert space and let G be a subset… more
Date: May 2011
Creator: Jasim, We'am Muhammad
Partner: UNT Libraries
open access

Development and validation of the Arabic version of the Job Descriptive Index (JDI)

Description: The purpose of this study was to determine the reliability of the Arabic version of the revised Job Descriptive Index. In addition, job satisfaction among managers at Saudi ARAMCO was measured and analyzed in relation to age, education, experience, national origin and management rank.
Date: December 1990
Creator: Maghrabi, Ahmed Sadakah
Partner: UNT Libraries
open access

High School Contemporary a Cappella: a Descriptive Phenomenology

Description: This study examines the phenomenon of contemporary a cappella music making found in high school settings as curricular and extra-curricular offerings. Past music and music education literature has focused exclusively on contemporary a cappella at the collegiate level. Through application of a descriptive phenomenological method and incorporation an educational-sociological lens, this study advances an understanding of the educational benefit and social value of membership in contemporary a capp… more
Date: December 2015
Creator: Burlin, Thomas B., Sr.
Partner: UNT Libraries
open access

Sealing of the universally Baire sets

Description: This article outlines the proof that over some mild large cardinal theory, Sealing is equiconsistent with Largest Suslin Axiom (LSA)-over-uB. Let LSA-over-uB be the statement that in all (set) generic extensions there is a model of LSA whose Suslin, co-Suslin sets are the universally Baire sets.
Date: July 2, 2021
Creator: Sargsyan, Grigor & Trang, Nam
Partner: UNT College of Science
open access

Does Policy Lead to Progress? An Investigation into the Relationship between Women-Friendly Policies and Women's Descriptive Representation

Description: It is generally accepted among scholars that increases in descriptive representation result in increases in substantive representation. Although women's descriptive representation has increased in recent years, women are still underrepresented in politics. One reason for women's underrepresentation is that female candidates must overcome additional barriers in order to get elected, including on the low number of women in the pipeline to elected office, party gatekeeping, women's lower levels of… more
Date: July 2023
Creator: Lambert, Jessica Rudd
Partner: UNT Libraries

Metadata to fit your needs... How much is too much?

Description: This presentation briefly introduces the University of North Texas (UNT) Libraries and their mission. It explains the structure of the Digital Projects Unit having the Digital Library and The Portal to Texas History, and discusses their metadata structure and its role in Digital Projects.
Date: March 16, 2009
Creator: Phillips, Mark Edward
Partner: UNT Libraries
open access

Algebraically Determined Rings of Functions

Description: Let R be any of the following rings: the smooth functions on R^2n with the Poisson bracket, the Hamiltonian vector fields on a symplectic manifold, the Lie algebra of smooth complex vector fields on C, or a variety of rings of functions (real or complex valued) over 2nd countable spaces. Then if H is any other Polish ring and φ:H →R is an algebraic isomorphism, then it is also a topological isomorphism (i.e. a homeomorphism). Moreover, many such isomorphisms between function rings … more
Date: August 2010
Creator: McLinden, Alexander Patrick
Partner: UNT Libraries
open access

The Relative Effectiveness of the Inductive-Deductive and the Deductive-Descriptive Methods in the Teaching of College Zoology

Description: This study was concerned with making a comparative analysis of the relative effectiveness of two teaching methods in increasing students' (a) knowledge and understanding of principles, (b) ability in critical thinking, and (c) science reasoning and understanding in an introductory college zoology course. The two methods were (a) a laboratory-centered inductive-deductive method and (b) the more commonly found deductive-descriptive method organized as a large lecture section with smaller laborato… more
Date: August 1966
Creator: Craik, Eva Lee, 1919-
Partner: UNT Libraries

From Small to Scale: Lessons Learned on the Requirements of Coordinated Selective Web Archiving and Its Applications

Description: Presentation for the IIPC General Assembly and Web Archiving Conference held on May 10-12, 2023 in Hilversum, Netherlands. This presentation explores the process and outcomes of a selective web archiving project conducted by the National Laboratory for Digital Heritage located in Budapest, Hungary.
Date: May 11, 2023
Creator: Indig, Balázs; Sárközi-Lindner, Zsófia & Nagy, Mihály
Partner: International Internet Preservation Consortium

Introduction to METS: UNT Libraries' Tech Talks

Description: This Tech Talk presentation explores METS. The Metadata Encoding and Transmission Standard (METS) is an initiative of the Digital Library Federation. Maintained by the Library of Congress, it provides a standard vocabulary and set of data structures for encoding hierarchical digital object content and metadata. In this presentation the author explains more about these parts of METS, and discusses how METS may be applicable to digital collections in the UNT Libraries.
Date: October 16, 2007
Creator: Phillips, Mark Edward
Partner: UNT Libraries
open access

On Steinhaus Sets, Orbit Trees and Universal Properties of Various Subgroups in the Permutation Group of Natural Numbers

Description: In the first chapter, we define Steinhaus set as a set that meets every isometric copy of another set at exactly one point. We show that there is no Steinhaus set for any four-point subset in a plane.In the second chapter, we define the orbit tree of a permutation group of natural numbers, and further introduce compressed orbit trees. We show that any rooted finite tree can be realized as a compressed orbit tree of some permutation group. In the third chapter, we investigate certain classes of … more
Date: August 2012
Creator: Xuan, Mingzhi
Partner: UNT Libraries
open access

On the Descriptive Complexity and Ramsey Measure of Sets of Oracles Separating Common Complexity Classes

Description: As soon as Bennett and Gill first demonstrated that, relative to a randomly chosen oracle, P is not equal to NP with probability 1, the random oracle hypothesis began piquing the interest of mathematicians and computer scientists. This was quickly disproven in several ways, most famously in 1992 with the result that IP equals PSPACE, in spite of the classes being shown unequal with probability 1. Here, we propose what could be considered strengthening of the random oracle hypothesis, using a st… more
Date: August 2022
Creator: Creiner, Alex
Partner: UNT Libraries
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