successor cardinal

A successor cardinal is a cardinal that is the cardinal successor of some cardinal.

Every finite cardinal other than $0$ is a successor cardinal. An infinite cardinal $\aleph_{\alpha}$ is a successor cardinal if and only if $\alpha$ is a successor ordinal.

Title successor cardinal SuccessorCardinal 2013-03-22 14:04:47 2013-03-22 14:04:47 yark (2760) yark (2760) 6 yark (2760) Definition msc 03E10 LimitCardinal CardinalSuccessor