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3 results

  • The σ-Linkedness of the Measure Algebra

  • Alan Dow, Juris Steprans
  • Journal:
    Canadian Mathematical Bulletin / Volume 37 / Issue 1 / 01 March 1994
    Published online by Cambridge University Press:
    20 November 2018, pp. 42-45
    Print publication:
    01 March 1994
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  • It is shown that the measure algebra on the space 22ω is σ-n-linked for each n ∊ ω.

  • Remarks on Martin's Axiom and the Continuum Hypothesis

  • Stevo Todorcevic
  • Journal:
    Canadian Journal of Mathematics / Volume 43 / Issue 4 / 01 August 1991
    Published online by Cambridge University Press:
    20 November 2018, pp. 832-851
    Print publication:
    01 August 1991
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  • Martin's axiom and the Continuum Hypothesis are studied here using the notion of a ccc partition i.e., a partition of the form where K0 has the following properties:

    (a) K0 contains subsets of its elements as well as all singletons of X.

    (b) Every uncountable subset of K0 contains two elements whose union is in K0.

  • Certain Values of Completeness and Saturatedness of a Uniform Ideal Rule out Certain Sizes of The Underlying Index Set

  • Frantisek Franek
  • Journal:
    Canadian Mathematical Bulletin / Volume 28 / Issue 4 / 01 December 1985
    Published online by Cambridge University Press:
    20 November 2018, pp. 501-504
    Print publication:
    01 December 1985
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  • Using the method of non-well-founded generic ultra-powers, we shall prove a generalization of a theorem of Taylor that certain values of completeness and saturatedness of a uniform ideal rule out certain sizes of the underlying index set.