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You searched for `subject:(Borel complexity)`

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

Degree: 2017, Boise State University

URL: https://scholarworks.boisestate.edu/td/1279

► 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…
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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 (6^{th} 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 (16^{th} 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 (7^{th} 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

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

URL: https://digital.library.unt.edu/ark:/67531/metadc271792/

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

APA (6^{th} 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/

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} 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/.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} 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/.

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/

Not specified: Masters Thesis or Doctoral Dissertation

3. Panagiotopoulos, Aristotelis. Structures and dynamics.

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

URL: http://hdl.handle.net/2142/98378

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

APA (6^{th} 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 (16^{th} 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 (7^{th} 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

URL: http://hdl.handle.net/10315/30032

► 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…
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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 (6^{th} 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 (16^{th} 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 (7^{th} 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