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University of North Texas

1. Backs, Karl. Uniformly σ-Finite Disintegrations of Measures.

Degree: 2011, University of North Texas

A disintegration of measure is a common tool used in ergodic theory, probability, and descriptive set theory. The primary interest in this paper is in disintegrating σ-finite measures on standard Borel spaces into families of σ-finite measures. In 1984, Dorothy Maharam asked whether every such disintegration is uniformly σ-finite meaning that there exists a countable collection of Borel sets which simultaneously witnesses that every measure in the disintegration is σ-finite. Assuming Gödel’s axiom of constructability I provide answer Maharam's question by constructing a specific disintegration which is not uniformly σ-finite. Advisors/Committee Members: Mauldin, R. Daniel, Jackson, Steve, 1957-, Gao, Su.

Subjects/Keywords: Measure theory; uniformization; analysis; disintegration of measure

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

APA (6th Edition):

Backs, K. (2011). Uniformly σ-Finite Disintegrations of Measures. (Thesis). University of North Texas. Retrieved from https://digital.library.unt.edu/ark:/67531/metadc84165/

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):

Backs, Karl. “Uniformly σ-Finite Disintegrations of Measures.” 2011. Thesis, University of North Texas. Accessed September 18, 2020. https://digital.library.unt.edu/ark:/67531/metadc84165/.

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

MLA Handbook (7th Edition):

Backs, Karl. “Uniformly σ-Finite Disintegrations of Measures.” 2011. Web. 18 Sep 2020.

Vancouver:

Backs K. Uniformly σ-Finite Disintegrations of Measures. [Internet] [Thesis]. University of North Texas; 2011. [cited 2020 Sep 18]. Available from: https://digital.library.unt.edu/ark:/67531/metadc84165/.

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

Council of Science Editors:

Backs K. Uniformly σ-Finite Disintegrations of Measures. [Thesis]. University of North Texas; 2011. Available from: https://digital.library.unt.edu/ark:/67531/metadc84165/

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

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