Construction of the Cantor Algebra

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.

Authors

Jackson Walters (ORCID: https://orcid.org/0000-0002-5814-7393)

Publication Details

Journal: Zenodo (CERN European Organization for Nuclear Research)
Published: 2026-07-26
DOI: https://doi.org/10.5281/zenodo.21614878
Primary Topic: Algebraic and Geometric Analysis
Type: article
Field-Weighted Citation Impact: 0.00

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article

Construction of the Cantor Algebra

Jackson Walters

Jul 26, 2026

Zenodo (CERN European Organization for Nuclear Research)

Algebraic and Geometric Analysis

article

Construction of the Cantor Algebra

Jackson Walters

July 26, 2026article en

Abstract

Zenodo (CERN European Organization for Nuclear Research)

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Openalex Percentile: Top 5%

Algebraic and Geometric Analysis

DOI Open Access PDF OpenAlex

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Construction of the Cantor Algebra — Jackson Walters · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS