Category:Right-Limit Filtrations of Sigma-Algebras

This category contains results about right-limit filtrations of $\sigma$-algebras.

Let $\struct {X, \Sigma}$ be a measurable space.

Let $\sequence {\FF_t}_{t \ge 0}$ be a continuous-time filtration of $\Sigma$.

For each $s \in \hointr 0 \infty$, let $\FF_{s+}$ be the right-limit of $\sequence {\FF_t}_{t \ge 0}$ at $t$.

We say that $\sequence {\FF_{t+} }_{t \ge 0}$ is the right-limit filtration associated with $\sequence {\FF_t}_{t \ge 0}$.