On Hereditarily Countable Sets
Jech, Thomas
J. Symbolic Logic, Tome 47 (1982) no. 1, p. 43-47 / Harvested from Project Euclid
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It is shown (in ZF) that every hereditarily countable set has rank less than $\omega_2$, and that if $\aleph_1$ is singular then there are hereditarily countable sets of all ranks less than $\omega_2$.
Publié le : 1982-03-14
Classification:  
@article{1183740939,
     author = {Jech, Thomas},
     title = {On Hereditarily Countable Sets},
     journal = {J. Symbolic Logic},
     volume = {47},
     number = {1},
     year = {1982},
     pages = { 43-47},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183740939}
}

Jech, Thomas. On Hereditarily Countable Sets. J. Symbolic Logic, Tome 47 (1982) no. 1, pp.  43-47. http://gdmltest.u-ga.fr/item/1183740939/