Suslin cardinal
= Suslin cardinal
{wiki=Suslin_cardinal}
A Suslin cardinal is a large cardinal—a concept in set theory—characterized by certain properties related to the structure of the continuum and well-ordering. Specifically, a cardinal \\( \\kappa \\) is called a Suslin cardinal if: 1. \\( \\kappa \\) is uncountable. 2. There is a family of subsets of \\( \\kappa \\) that is of size \\( \\kappa \\), with each subset being a subset of \\( \\kappa \\).