Adjoining Cofinitary Permutations
Zhang, Yi
J. Symbolic Logic, Tome 64 (1999) no. 1, p. 1803-1810 / Harvested from Project Euclid
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We show that it is consistent with ZFC + $\neg$CH that there is a maximal cofinitary group (or, maximal almost disjoint group) G $\leq$ Sym($\omega$) such that G is a proper subset of an almost disjoint family A $\subseteq$ Sym($\omega$) and |G| < |A|. We also ask several questions in this area.
Publié le : 1999-12-14
Classification:  03E35,  20A15,  20B07,  20B35 
@article{1183745953,
     author = {Zhang, Yi},
     title = {Adjoining Cofinitary Permutations},
     journal = {J. Symbolic Logic},
     volume = {64},
     number = {1},
     year = {1999},
     pages = { 1803-1810},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183745953}
}

Zhang, Yi. Adjoining Cofinitary Permutations. J. Symbolic Logic, Tome 64 (1999) no. 1, pp.  1803-1810. http://gdmltest.u-ga.fr/item/1183745953/