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f-Rings and the Stone-Weierstrass Theorem

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Abstract

Using an appropriate notion of separating subring, it is shown that the classical Stone-Weierstrass Theorem for compact Hausdorff spaces is ultimately a result about f-rings. As an application the constructively valid Stone-Weierstrass Theorem for compact completely regular frames is obtained.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, McMaster University, Hamilton, ON, Canada

    B. Banaschewski

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  1. B. Banaschewski
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Banaschewski, B. f-Rings and the Stone-Weierstrass Theorem. Order 18, 105–117 (2001). https://doi.org/10.1023/A:1011975217689

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  • DOI: https://doi.org/10.1023/A:1011975217689

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