Given an event $A \subset \Omega$, a Markov chain $(X_n)$ on $\Omega$ and stopping time $T$ what is the formal definition of: "The event $A$ is determinated by $X_0, \ldots, X_T$". I have found this in the proof of Markov property and Strong Markov property on Markov chains book of James Norris and I don't understand the formal meaning.
2026-04-07 08:08:20.1775549300
Formal definition of: "The event $A$ is determinated by $X_0, \ldots, X_T$"
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