Graduate Thesis Or Dissertation

 

Independent Partitions in Boolean Algebras Public Deposited

https://scholar.colorado.edu/concern/graduate_thesis_or_dissertations/k643b117x
Abstract
  • This dissertation introduces a generalization of the cardinal invariant independence for Boolean algebras, suggested by the proof of the Balcar-Franek Theorem. The objects of study are independent sets of partitions under this new notion of independence. Generalizations of several known results regarding large and small independence are formulated and proved, and counterexamples provided for others. Notably the Balcar-Franek theorem itself is generalized.
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  • 2012
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  • 2019-11-16
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