The Symbol that Looks Like an F?

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What is the symbol that looks like a capital f, F, which is used to prove the martingale:

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My best guess is that $\mathcal{F}_s^B$ is a Brownian Filtration, with respective time $s$. See for instance Brownian Motion and Stochastic Calculus- section 2.7, from Karatzas and Shreve.

You can also see this notation being used here.