For any countable family of sets $\mathfrak{F}$ there is totally ordered (by inclusion) family of sets $\mathfrak{T}$, for which $\sigma(\mathfrak{F}) = \sigma(\mathfrak{T})$.
$\sigma(\ldots)$ here means "$\sigma$-algebra, generated by ..."
For any countable family of sets $\mathfrak{F}$ there is totally ordered (by inclusion) family of sets $\mathfrak{T}$, for which $\sigma(\mathfrak{F}) = \sigma(\mathfrak{T})$.
$\sigma(\ldots)$ here means "$\sigma$-algebra, generated by ..."
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