| 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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