On the Alaoglu-Birkhoff equivalence of posets

Todorčević, Stevo; Zapletal, Jindrřich

Illinois J. Math., Tome 43 (1999) no. 3, p. 281-290 / Harvested from Project Euclid

Résumé

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.

Publié le : 1999-06-15
Classification: 03E05, 03E40, 06A06

@article{1255985215,
     author = {Todor\v cevi\'c, Stevo and Zapletal, Jindr\v rich},
     title = {On the Alaoglu-Birkhoff equivalence of posets},
     journal = {Illinois J. Math.},
     volume = {43},
     number = {3},
     year = {1999},
     pages = { 281-290},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255985215}
}

Todorčević, Stevo; Zapletal, Jindrřich. On the Alaoglu-Birkhoff equivalence of posets. Illinois J. Math., Tome 43 (1999) no. 3, pp.  281-290. http://gdmltest.u-ga.fr/item/1255985215/