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A Generalization of Stone Duality to Uniform Spaces

This paper explores a Generalization of Stone Duality to Uniform Spaces, focusing on Partitions of Boolean Algebras and Partition Algebras. It delves into concepts like Subcompleteness, Stability, and Partition Homomorphisms, highlighting their relations to Ordinary Stone Duality and Inverse Limits. The study concludes with insights on the enhanced duality in Uniform Spaces.

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A Generalization of Stone Duality to Uniform Spaces

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  1. A Generalization of Stone Duality to Uniform Spaces

  2. Partitions of Boolean Algebras

  3. Boolean Partition Algebras

  4. Subcompleteness and Stability

  5. Subcompleteness and Stability

  6. Uniform Spaces

  7. Partition Spaces

  8. Duality

  9. Partition Homomorphisms

  10. Morphism Duality

  11. Relation to Ordinary Stone Duality

  12. Relation to Ordinary Stone Duality

  13. Inverse Limits

  14. Conclusion

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