Category:Cardinality of Infinite Sigma-Algebra is at Least Cardinality of Continuum

This category contains pages concerning Cardinality of Infinite Sigma-Algebra is at Least Cardinality of Continuum:

Let $\MM$ be an infinite $\sigma$-algebra on a set $X$.

Then $\MM$ is has cardinality at least that of the cardinality of the continuum $\mathfrak c$:

$\map \Card \MM \ge \mathfrak c$