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 \( \kappa \).