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A characterization of the existence of a Souslin line
Published online by Cambridge University Press: 17 April 2009
Abstract
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The main purpose of this paper is to show that there exists a Souslin line if and only if there exists a countable chain condition space which is not weak-separable but has a generic π-base. If I is the closure of the isolated points in a space X, then X is said to be weak-separable if a first category set is dense in X – I. A π-base 
is said to be generic if, whenever a member of is included in the disjoint union of members of it is included in one of them.
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- Research Article
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- Copyright © Australian Mathematical Society 1982
References
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