Authors: Todorčević, Stevo 
Title: Directed sets and cofinal types
Journal: Transactions of the American Mathematical Society
Volume: 290
Issue: 2
First page: 711
Last page: 723
Issue Date: 1-Jan-1985
Rank: M21
ISSN: 0002-9947
DOI: 10.1090/S0002-9947-1985-0792822-9
Abstract: 
We show that 1, ω, ω1 × ω1 and [ω11ω are the only cofinal types of directed sets of size N1, but that there exist many cofinal types of directed sets of size continuum.
Publisher: American Mathematical Society

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