a generalization of stone duality to uniform spaces

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A Generalization of Stone Duality to Uniform Spaces

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A Generalization of Stone Duality to Uniform Spaces. Partitions of Boolean Algebras. Boolean Partition Algebras. Subcompleteness and Stability. Subcompleteness and Stability. Uniform Spaces. Partition Spaces. Duality. Partition Homomorphisms. Morphism Duality. - PowerPoint PPT Presentation

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Page 1: A Generalization of Stone Duality to Uniform Spaces

A Generalization of Stone Duality to Uniform Spaces

Page 2: A Generalization of Stone Duality to Uniform Spaces

Partitions of Boolean Algebras

Page 3: A Generalization of Stone Duality to Uniform Spaces

Boolean Partition Algebras

Page 4: A Generalization of Stone Duality to Uniform Spaces

Subcompleteness and Stability

Page 5: A Generalization of Stone Duality to Uniform Spaces

Subcompleteness and Stability

Page 6: A Generalization of Stone Duality to Uniform Spaces

Uniform Spaces

Page 7: A Generalization of Stone Duality to Uniform Spaces

Partition Spaces

Page 8: A Generalization of Stone Duality to Uniform Spaces

Duality

Page 9: A Generalization of Stone Duality to Uniform Spaces

Partition Homomorphisms

Page 10: A Generalization of Stone Duality to Uniform Spaces

Morphism Duality

Page 11: A Generalization of Stone Duality to Uniform Spaces

Relation to Ordinary Stone Duality

Page 12: A Generalization of Stone Duality to Uniform Spaces

Relation to Ordinary Stone Duality

Page 13: A Generalization of Stone Duality to Uniform Spaces

Inverse Limits

Page 14: A Generalization of Stone Duality to Uniform Spaces

Conclusion

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