| Authors: | Todorčević, Stevo Zapletal, Jindrich |
Title: | On the Alaoglu-Birkhoff equivalence of posets | Journal: | Illinois Journal of Mathematics | Volume: | 43 | Issue: | 2 | First page: | 281 | Last page: | 290 | Issue Date: | 1-Jun-1999 | Rank: | M22 | ISSN: | 0019-2082 | DOI: | 10.1215/ijm/1255985215 | Abstract: | We show that under the Proper Forcing Axiom, the Alaoglu-Birkhoff equivalence on separative posets of the first uncountable size roughly coincides with regular embeddability. We also investigate the behavior of the equivalence under the Continuum Hypothesis. |
Publisher: | University of Illinois at Urbana - Champaign, Department of Mathematics |
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