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In measure theory, a σ\sigma-continuous valuation on a σ \sigma -complete lattice (L,≤,⊥,∨,⊤,∧,⋁)(L, \leq, \bot, \vee, \top, \wedge, \Vee) is a valuation μ:L→[0,∞]\mu:L \to [0, \infty] such that the σ\sigma-continuity condition is satisfied: for all sequences s:ℕ→Ls:\mathbb{N} \to L, if s(n)≤s(n+1)s(n) \leq s(n + 1) for all natural numbers n∈ℕn \in\mathbb{N}, then
valuation (measure theory)
sigma-continuous probability valuation
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Last revised on June 5, 2022 at 21:30:54. See the history of this page for a list of all contributions to it.