Cardinals $m$ such that $2m=m$

J. D. Halpern, Paul E. Howard
1970 Proceedings of the American Mathematical Society  
In this paper we compare characterizations of cardinals m satisfying 2 -m=m with certain characterizations of Dedekind infinite cadinals. It is also shown that a strengthening of Vm (m an infinite cardinal =>2 -m =m) implies the axiom of choice. Received by the editors July 15, 1969. A MS 1968 subject classifications. Primary 0260, 0430.
doi:10.1090/s0002-9939-1970-0268034-9 fatcat:kwyfcp32ybd4vnds6ikzr7hun4