Elementary exposition demonstrates construction of Cantor algebra from clopen subsets, highlighting properties.
An elementary exposition of the construction of the Cantor algebra from the clopen subsets of Cantor space. The note introduces cylinder sets, establishes their basic intersection and splitting properties, and verifies closure under the Boolean operations. An accompanying Lean 4 formalization includes the cylinder-set construction and atomlessness proof.
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Jackson Walters (2026) studied this question.
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