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 ${\mathrm{\aleph }}_{\alpha }$ is a successor cardinal if and only if $\alpha$ is a successor ordinal.

Title	successor cardinal
Canonical name	SuccessorCardinal
Date of creation	2013-03-22 14:04:47
Last modified on	2013-03-22 14:04:47
Owner	yark (2760)
Last modified by	yark (2760)
Numerical id	6
Author	yark (2760)
Entry type	Definition
Classification	msc 03E10
Related topic	LimitCardinal
Related topic	CardinalSuccessor