In mathematics, the cylinder sets form a basis of the product topology on a product of sets; they are also a generating family of the cylinder σ-algebra. == General definition == Given a collection S {\displaystyle S} of sets, consider the Cartesian product X = ∏ Y ∈ S Y {\textstyle X=\prod _{Y\in S}Y} of all sets in the collection.
In mathematics, the cylinder sets form a basis of the product topology on a product of sets; they are also a generating family of the cylinder σ-algebra. == General definition == Given a collection S {\displaystyle S} of sets, consider the Cartesian product X = ∏ Y ∈ S Y {\textstyle X=\prod _{Y\in S}Y} of all sets in the collection.
Source: Wikipedia "Cylinder set" · CC BY-SA 4.0
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