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Remarks on Martin's Axiom and the Continuum Hypothesis

Published online by Cambridge University Press:  20 November 2018

Stevo Todorcevic
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

03E0503E5004A20
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 43 , Issue 4 , 01 August 1991 , pp. 832 - 851
Copyright
Copyright © Canadian Mathematical Society 1991

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