monotone classMonotone ClassFernando Sanz GámizDefinition.A collection ℳ of subsets of Ω is a monotone classif it is closed under increasing and decreasing sequences of sets,i.e.1. A1⊆A2⊆A3,…∈ℳ⇒⋃An∈ℳ2. A1⊇A2⊇A3,…∈ℳ⇒⋂An∈ℳ