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University of North Texas

1. Cotton, Michael R. Abelian Group Actions and Hypersmooth Equivalence Relations.

Degree: 2019, University of North Texas

We show that any Borel action on a standard Borel space of a group which is topologically isomorphic to the sum of a countable abelian group with a countable sum of lines and circles induces an orbit equivalence relation which is hypersmooth. We also show that any Borel action of a second countable locally compact abelian group on a standard Borel space induces an orbit equivalence relation which is essentially hyperfinite, generalizing a result of Gao and Jackson for the countable abelian groups. Advisors/Committee Members: Gao, Su, Jackson, Stephen C., Kallman, Robert R..

Subjects/Keywords: abelian; group action; hypersmooth; equivalence relation; Borel; hyperfinite; essentially hyperfinite; locally compact; LCA-group

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

APA (6th Edition):

Cotton, M. R. (2019). Abelian Group Actions and Hypersmooth Equivalence Relations. (Thesis). University of North Texas. Retrieved from https://digital.library.unt.edu/ark:/67531/metadc1505289/

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):

Cotton, Michael R. “Abelian Group Actions and Hypersmooth Equivalence Relations.” 2019. Thesis, University of North Texas. Accessed September 19, 2020. https://digital.library.unt.edu/ark:/67531/metadc1505289/.

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

MLA Handbook (7th Edition):

Cotton, Michael R. “Abelian Group Actions and Hypersmooth Equivalence Relations.” 2019. Web. 19 Sep 2020.

Vancouver:

Cotton MR. Abelian Group Actions and Hypersmooth Equivalence Relations. [Internet] [Thesis]. University of North Texas; 2019. [cited 2020 Sep 19]. Available from: https://digital.library.unt.edu/ark:/67531/metadc1505289/.

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

Council of Science Editors:

Cotton MR. Abelian Group Actions and Hypersmooth Equivalence Relations. [Thesis]. University of North Texas; 2019. Available from: https://digital.library.unt.edu/ark:/67531/metadc1505289/

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

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