Distinguishing types of gaps in 𝒫(ω)/fin

Yorioka, Teruyuki

J. Symbolic Logic, Tome 68 (2003) no. 1, p. 1261-1276 / Harvested from Project Euclid

Résumé

Supplementing the well known results of Kunen we show that Martin’s Axiom is not sufficient to decide the existence of (ω₁,𝔠)-gaps when (𝔠,𝔠)-gaps exist, that is, it is consistent with ZFC that Martin’s Axiom holds and there are (𝔠,𝔠)-gaps but no (ω₁,𝔠)-gaps.

Publié le : 2003-12-14
Classification:

@article{1067620186,
     author = {Yorioka, Teruyuki},
     title = {Distinguishing types of gaps in P(o)/fin},
     journal = {J. Symbolic Logic},
     volume = {68},
     number = {1},
     year = {2003},
     pages = { 1261-1276},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1067620186}
}

Yorioka, Teruyuki. Distinguishing types of gaps in 𝒫(ω)/fin. J. Symbolic Logic, Tome 68 (2003) no. 1, pp.  1261-1276. http://gdmltest.u-ga.fr/item/1067620186/