Corpus ID: 17035712

Variations of independence in boolean algebras

@inproceedings{Bruns2008VariationsOI,
  title={Variations of independence in boolean algebras},
  author={Corey Thomas Bruns},
  year={2008}
}
  • Corey Thomas Bruns
  • Published 2008
  • Mathematics
  • We give a definition of some classes of boolean algebras generalizing free boolean algebras; they satisfy a universal property that certain functions extend to homomorphisms. We give a combinatorial property of generating sets of these algebras, which we call n -independent. The properties of these classes (n-free and omega-free boolean algebras) are investigated. These include connections to hypergraph theory and cardinal invariants on these algebras. Related cardinal functions, n Ind, which… CONTINUE READING

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