query: what is exactly the $\sigma -$algebra $\mathcal F_T=\{A\in \mathcal F\mid A\cap \{T\leq t\}\in \mathcal F_t\}$?
positive_passages.docid: 142594
positive_passages.text: Verifying the interpretation of stopping times and stopping time $\sigma$-algebras
negative_passages.docid: 35140
negative_passages.text: Existence of minimal $\sigma$-algebra and transfinite induction
negative_passages.docid: 64118
negative_passages.text: Number of elements in a finite $\sigma$-algebra
negative_passages.docid: 120442
negative_passages.text: Prove Borel sigma-algebra translation invariant
negative_passages.docid: 141258
negative_passages.text: Why does $M \mathbin{\otimes_R} N \cong M_\mathfrak{p} \mathbin{\otimes_{R_\mathfrak{p}}} N$?
negative_passages.docid: 65098
negative_passages.text: Number of $\sigma$  -Algebra on the finite set
negative_passages.docid: 31919
negative_passages.text: What can we say about the inner product $\langle f(t),f'(t) \rangle$?
negative_passages.docid: 129194
negative_passages.text: Correspondences between Borel algebras and topological spaces
negative_passages.docid: 37730
negative_passages.text: Difference Between Algebra of Infinitesimal Conformal Transformations & Conformal Algebra
negative_passages.docid: 127522
negative_passages.text: Space $\mathcal{L}^p(X, \Sigma, \mu)$ is separable iff $(\Sigma, \rho_\Delta)$ is separable
negative_passages.docid: 145104
negative_passages.text: $T:$ $\mathbb{C}$ $\to$ $\mathbb{C}$ by $T(z)=\lambda z + \mu \bar{z}$ for every $z \in \mathbb{C}$
negative_passages.docid: 83830
negative_passages.text: Sigma algebra generated by the set of all singletons
negative_passages.docid: 125894
negative_passages.text: Prove that $\mathbb{Q}$ belongs to the Borel $\sigma$-algebra of $\mathbb{R}$
negative_passages.docid: 16048
negative_passages.text: Approximating a $\sigma$-algebra by a generating algebra
negative_passages.docid: 2342
negative_passages.text: How does equality $\mathfrak{m}^\mathfrak{m} = 2^\mathfrak{m}$ in $\sf{ZF}$ relate to the axiom of choice?
negative_passages.docid: 153542
negative_passages.text: Fixed Field of $\sigma, \tau$
negative_passages.docid: 134983
negative_passages.text: Borel sigma algebra not containing all subsets of $\mathbb{R}$?