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.
Citation
Stevo Todorčević. Jindrřich Zapletal. "On the Alaoglu-Birkhoff equivalence of posets." Illinois J. Math. 43 (2) 281 - 290, Summer 1999. https://doi.org/10.1215/ijm/1255985215
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