Authors: Todorčević, Stevo 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Two examples of borel partially ordered sets with the countable chain condition
Journal: Proceedings of the American Mathematical Society
Volume: 112
Issue: 4
First page: 1125
Last page: 1128
Issue Date: 1-Jan-1991
Rank: M22
ISSN: 0002-9939
DOI: 10.1090/S0002-9939-1991-1069693-7
Abstract: 
We define an open symmetric two-place relation on the reals such that the reals cannot be covered by countably many sets of related elements, but there is no uncountable set of unrelated elements. The poset and of finite sets of related elements satisfies the countable chain condition but it may fail to have the property K, i.e., a substantial irregularity can be injected in.
Keywords: Blaschke products | Bloch functions
Publisher: American Mathematical Society

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