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You searched for subject:(Borel complexity). Showing records 1 – 4 of 4 total matches.

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1. Potter, Stephanie. Classification of Vertex-Transitive Structures.

Degree: 2017, Boise State University

 When one thinks of objects with a significant level of symmetry it is natural to expect there to be a simple classification. However, this leads… (more)

Subjects/Keywords: Borel complexity theory; vertex-transitive; Set Theory

…have Borel complete which is the maximum possible complexity among isomorphism problems for… …tournaments lie in terms of Borel complexity. Here we show that isomorphism of vertex-transitive… …from M onto N . Definition 3. An invariant Borel class of countable L-structures is an S… …invariant Borel subset of Mod(L). Note that for the purposes of this thesis we always… …or on the invariant Borel class. The notion of a Borel reduction allows one to compare… 

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APA (6th Edition):

Potter, S. (2017). Classification of Vertex-Transitive Structures. (Thesis). Boise State University. Retrieved from https://scholarworks.boisestate.edu/td/1279

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):

Potter, Stephanie. “Classification of Vertex-Transitive Structures.” 2017. Thesis, Boise State University. Accessed August 14, 2020. https://scholarworks.boisestate.edu/td/1279.

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

MLA Handbook (7th Edition):

Potter, Stephanie. “Classification of Vertex-Transitive Structures.” 2017. Web. 14 Aug 2020.

Vancouver:

Potter S. Classification of Vertex-Transitive Structures. [Internet] [Thesis]. Boise State University; 2017. [cited 2020 Aug 14]. Available from: https://scholarworks.boisestate.edu/td/1279.

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

Council of Science Editors:

Potter S. Classification of Vertex-Transitive Structures. [Thesis]. Boise State University; 2017. Available from: https://scholarworks.boisestate.edu/td/1279

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

2. Cohen, Michael Patrick. Descriptive Set Theory and Measure Theory in Locally Compact and Non-locally Compact Groups.

Degree: 2013, University of North Texas

 In this thesis we study descriptive-set-theoretic and measure-theoretic properties of Polish groups, with a thematic emphasis on the contrast between groups which are locally compact… (more)

Subjects/Keywords: Topological groups; topological dynamics; Borel complexity; Haar null sets

…groups, and embodies Chapter 3. Chapter 4 examines the Borel complexity of some natural subsets… …stratified by their relative definable complexity into a Borel hierarchy indexed by the countable… …in fact Polish, then every such G-orbit is actually a Borel set and not just analytic… …every q ∈ X, the G-orbit of (m, q) is Borel in M n+1 . A priori this condition is… …orbits of the group action are each Kσ , hence Borel, but the group cannot admit a Polish… 

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APA (6th Edition):

Cohen, M. P. (2013). Descriptive Set Theory and Measure Theory in Locally Compact and Non-locally Compact Groups. (Thesis). University of North Texas. Retrieved from https://digital.library.unt.edu/ark:/67531/metadc271792/

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):

Cohen, Michael Patrick. “Descriptive Set Theory and Measure Theory in Locally Compact and Non-locally Compact Groups.” 2013. Thesis, University of North Texas. Accessed August 14, 2020. https://digital.library.unt.edu/ark:/67531/metadc271792/.

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

MLA Handbook (7th Edition):

Cohen, Michael Patrick. “Descriptive Set Theory and Measure Theory in Locally Compact and Non-locally Compact Groups.” 2013. Web. 14 Aug 2020.

Vancouver:

Cohen MP. Descriptive Set Theory and Measure Theory in Locally Compact and Non-locally Compact Groups. [Internet] [Thesis]. University of North Texas; 2013. [cited 2020 Aug 14]. Available from: https://digital.library.unt.edu/ark:/67531/metadc271792/.

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

Council of Science Editors:

Cohen MP. Descriptive Set Theory and Measure Theory in Locally Compact and Non-locally Compact Groups. [Thesis]. University of North Texas; 2013. Available from: https://digital.library.unt.edu/ark:/67531/metadc271792/

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

3. Panagiotopoulos, Aristotelis. Structures and dynamics.

Degree: PhD, Mathematics, 2017, University of Illinois – Urbana-Champaign

 Our results are divided in three independent chapters. In Chapter 2, we show that if g is a generic isometry of a generic subspace X… (more)

Subjects/Keywords: Polish groups; Fraisse; Turbulence; Hjorth; Left invariant; Becker; Projective Fraisse; Infinite games; Borel complexity

…key role in Borel complexity theory in the last two decades and it is to this day… …topology is given in Chapter 2.4. 1.2 Complexity of orbit equivalence relations Classification… …being true when H is infinite dimensional. In this case, there is no Borel map f : B(H… …whether there is a reduction f from E to F that is moreover Borel as a map from X to Y . In this… …case, E is said to be Borel reducible to F . Recall that E is concretely classifiable if E is… 

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APA (6th Edition):

Panagiotopoulos, A. (2017). Structures and dynamics. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/98378

Chicago Manual of Style (16th Edition):

Panagiotopoulos, Aristotelis. “Structures and dynamics.” 2017. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed August 14, 2020. http://hdl.handle.net/2142/98378.

MLA Handbook (7th Edition):

Panagiotopoulos, Aristotelis. “Structures and dynamics.” 2017. Web. 14 Aug 2020.

Vancouver:

Panagiotopoulos A. Structures and dynamics. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2017. [cited 2020 Aug 14]. Available from: http://hdl.handle.net/2142/98378.

Council of Science Editors:

Panagiotopoulos A. Structures and dynamics. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2017. Available from: http://hdl.handle.net/2142/98378

4. Lupini, Martino. Operator Algebras and Abstract Classification.

Degree: PhD, Mathematics & Statistics, 2015, York University

 This dissertation is dedicated to the study of operator spaces, operator algebras, and their automorphisms using methods from logic, particularly descriptive set theory and model… (more)

Subjects/Keywords: Mathematics; C*-algebra; Operator space; Operator system; Classification; Borel complexity; Groupoid; Equivalence relation; Treeable equivalence relation; Automorphism; Fraisse theory; Continuous trace; Turbulence; Homogeneous structure

…study led to what is now called Borel complexity theory, providing a general framework where… …from the perspective of Borel complexity theory has been initiated in [38]. As… …notion of functorial Borel complexity, aiming at capturing the complexity of classifying the… …refinement and generalization of the usual notion of Borel complexity, since it reduces to the… …notion of Borel complexity. Precisely, for any nontreeable countable Borel equivalence E… 

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

APA (6th Edition):

Lupini, M. (2015). Operator Algebras and Abstract Classification. (Doctoral Dissertation). York University. Retrieved from http://hdl.handle.net/10315/30032

Chicago Manual of Style (16th Edition):

Lupini, Martino. “Operator Algebras and Abstract Classification.” 2015. Doctoral Dissertation, York University. Accessed August 14, 2020. http://hdl.handle.net/10315/30032.

MLA Handbook (7th Edition):

Lupini, Martino. “Operator Algebras and Abstract Classification.” 2015. Web. 14 Aug 2020.

Vancouver:

Lupini M. Operator Algebras and Abstract Classification. [Internet] [Doctoral dissertation]. York University; 2015. [cited 2020 Aug 14]. Available from: http://hdl.handle.net/10315/30032.

Council of Science Editors:

Lupini M. Operator Algebras and Abstract Classification. [Doctoral Dissertation]. York University; 2015. Available from: http://hdl.handle.net/10315/30032

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