Graduate Thesis Or Dissertation


On Some Min-Max Cardinals on Boolean Algebras Public Deposited
  • This thesis is concerned with cardinal functions on Boolean Algebras (BAs) in general, and especially with min-max type functions on atomless BAs. The thesis is in two parts: (1) We make use of a forcing technique for extending Boolean algebras. elsewhere. Using and modifying a lemma of Koszmider, and using CH, we prove some general extension lemmas, and in particular obtain an atomless BA, A such that f(A) = smm(A) = w < u(A) = w₁. (2) We investigate cardinal functions of min-max and max type and also spectrum functions on moderate products of Boolean algebras. We prove several theorems determining the value of a function on a moderate product in terms of the values of that function on the factors.
Date Issued
  • 2015
Academic Affiliation
Committee Member
Degree Grantor
Commencement Year
Last Modified
  • 2019-11-16
Resource Type
Rights Statement