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Remarks on Martin's Axiom and the Continuum Hypothesis

Published online by Cambridge University Press:  20 November 2018

Stevo Todorcevic*
Affiliation:
Mathematics Institute, Knez Mihailova 35, 11000 Beograd, Yugoslavia
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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.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1991

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